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

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


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

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

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

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

Multiply (-9 + 5x) * (7 + x)
x(-9(7 + x) + 5x * (7 + x)) = 0
x((7 * -9 + x * -9) + 5x * (7 + x)) = 0
x((-63 + -9x) + 5x * (7 + x)) = 0
x(-63 + -9x + (7 * 5x + x * 5x)) = 0
x(-63 + -9x + (35x + 5x2)) = 0

Combine like terms: -9x + 35x = 26x
x(-63 + 26x + 5x2) = 0
(-63 * x + 26x * x + 5x2 * x) = 0
(-63x + 26x2 + 5x3) = 0

Solving
-63x + 26x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-63 + 26x + 5x2) = 0

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


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 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {0, -7, 1.8}

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