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

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Solution for 10(x+7)(x-9)=0 equation: 


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

Reorder the terms:
10(7 + x)(x + -9) = 0

Reorder the terms:
10(7 + x)(-9 + x) = 0

Multiply (7 + x) * (-9 + x)
10(7(-9 + x) + x(-9 + x)) = 0
10((-9 * 7 + x * 7) + x(-9 + x)) = 0
10((-63 + 7x) + x(-9 + x)) = 0
10(-63 + 7x + (-9 * x + x * x)) = 0
10(-63 + 7x + (-9x + x2)) = 0

Combine like terms: 7x + -9x = -2x
10(-63 + -2x + x2) = 0
(-63 * 10 + -2x * 10 + x2 * 10) = 0
(-630 + -20x + 10x2) = 0

Solving
-630 + -20x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-63 + -2x + x2) = 0

Factor a trinomial.
10((-7 + -1x)(9 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
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 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
Solution
x = {-7, 9}

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