8(x+2)(x-7)=0

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Solution for 8(x+2)(x-7)=0 equation: 


Simplifying
8(x + 2)(x + -7) = 0

Reorder the terms:
8(2 + x)(x + -7) = 0

Reorder the terms:
8(2 + x)(-7 + x) = 0

Multiply (2 + x) * (-7 + x)
8(2(-7 + x) + x(-7 + x)) = 0
8((-7 * 2 + x * 2) + x(-7 + x)) = 0
8((-14 + 2x) + x(-7 + x)) = 0
8(-14 + 2x + (-7 * x + x * x)) = 0
8(-14 + 2x + (-7x + x2)) = 0

Combine like terms: 2x + -7x = -5x
8(-14 + -5x + x2) = 0
(-14 * 8 + -5x * 8 + x2 * 8) = 0
(-112 + -40x + 8x2) = 0

Solving
-112 + -40x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-14 + -5x + x2) = 0

Factor a trinomial.
8((-2 + -1x)(7 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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
Solution
x = {-2, 7}

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