4x(x-9)(x+7)=0

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Solution for 4x(x-9)(x+7)=0 equation:


Simplifying
4x(x + -9)(x + 7) = 0

Reorder the terms:
4x(-9 + x)(x + 7) = 0

Reorder the terms:
4x(-9 + x)(7 + x) = 0

Multiply (-9 + x) * (7 + x)
4x(-9(7 + x) + x(7 + x)) = 0
4x((7 * -9 + x * -9) + x(7 + x)) = 0
4x((-63 + -9x) + x(7 + x)) = 0
4x(-63 + -9x + (7 * x + x * x)) = 0
4x(-63 + -9x + (7x + x2)) = 0

Combine like terms: -9x + 7x = -2x
4x(-63 + -2x + x2) = 0
(-63 * 4x + -2x * 4x + x2 * 4x) = 0
(-252x + -8x2 + 4x3) = 0

Solving
-252x + -8x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-63 + -2x + x2) = 0

Factor a trinomial.
4x((-7 + -1x)(9 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 3

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {0, -7, 9}

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