Fraction

For what x expression

${\displaystyle \frac{4x^2-16}{3x^2-6x}}$

equals zero?

Correct answer:

x =  -2

Step-by-step explanation:

$$\begin{gathered} {\displaystyle \frac{4x^2-16}{3x^2-6x}}={\displaystyle \frac{4(x-2)(x+2)}{3x(x-2)}} \\ x\mathrm{\ne }2\wedge x\mathrm{\ne }0 \\ x=-2 \end{gathered}$$

Try another example

Related math problems and questions:

• Pure quadratic equation
  Solve pure quadratic equation -5x² +10 = 0.
• EQ2
  Solve quadratic equation: 2x²- 2(x-7)²+5x=0
• Exponential equation
  Determine the value of having y in the expression (3^y): (4^-1)=36. Unknown y is a natural number greater than zero.
• Three friends
  Three friends divided the profit 104,650 CZK, so that for every 4 CZK, which got the first friend equals 5 crowns for second and for every 9 CZK, which got the second equals 16 CZK for third. Question: Who got the most and how much.
• A fraction
  I think of a fraction, if we increase its numerator and denominator by one, the value of the fraction increases by one tenth, what fraction do I think?
• Eq with reciprocal
  Solve given equation with reciprocal member: a-6/a+10=4/8
• The gardener
  The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?
• Unknown number x
  5% from an unknown number equals the number 2⁶. What is the unknown number?
• Over fraction
  Solve equation: p over 5 equals fraction numerator 7 p over denominator 6 end fraction plus 5
• Quadratic equation
  Determine the numbers b, c that the numbers x₁ = -1 and x₂ = 3 were roots of quadratic equation: -3x ² + b x + c = 0
• Quadratic equation
  Solve quadratic equation: 2x²+28x-550=0
• Difference of two number
  The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.
• Equation with fractions
  What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? n = -2 n = 4 n = fraction 1 over 2
• Sinus
  Determine the smallest integer p for which the equation 4 sin x = p has no solution.
• Semicircle
  To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?
• Radians compare
  What is greater angle? -0.7 radians or -0.7π radians?
• Digit sum
  The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get the number 2430. What is the original two-digit number?