-5x(x-9)(x+7)=0

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Solution for -5x(x-9)(x+7)=0 equation: 


Simplifying
-5x(x + -9)(x + 7) = 0

Reorder the terms:
-5x(-9 + x)(x + 7) = 0

Reorder the terms:
-5x(-9 + x)(7 + x) = 0

Multiply (-9 + x) * (7 + x)
-5x(-9(7 + x) + x(7 + x)) = 0
-5x((7 * -9 + x * -9) + x(7 + x)) = 0
-5x((-63 + -9x) + x(7 + x)) = 0
-5x(-63 + -9x + (7 * x + x * x)) = 0
-5x(-63 + -9x + (7x + x2)) = 0

Combine like terms: -9x + 7x = -2x
-5x(-63 + -2x + x2) = 0
(-63 * -5x + -2x * -5x + x2 * -5x) = 0
(315x + 10x2 + -5x3) = 0

Solving
315x + 10x2 + -5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(63 + 2x + -1x2) = 0

Factor a trinomial.
5x((9 + -1x)(7 + x)) = 0

Ignore the factor 5.

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 '(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

Subproblem 3
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, 9, -7}

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