8(3x-9)(x+7)=0

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Solution for 8(3x-9)(x+7)=0 equation: 


Simplifying
8(3x + -9)(x + 7) = 0

Reorder the terms:
8(-9 + 3x)(x + 7) = 0

Reorder the terms:
8(-9 + 3x)(7 + x) = 0

Multiply (-9 + 3x) * (7 + x)
8(-9(7 + x) + 3x * (7 + x)) = 0
8((7 * -9 + x * -9) + 3x * (7 + x)) = 0
8((-63 + -9x) + 3x * (7 + x)) = 0
8(-63 + -9x + (7 * 3x + x * 3x)) = 0
8(-63 + -9x + (21x + 3x2)) = 0

Combine like terms: -9x + 21x = 12x
8(-63 + 12x + 3x2) = 0
(-63 * 8 + 12x * 8 + 3x2 * 8) = 0
(-504 + 96x + 24x2) = 0

Solving
-504 + 96x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-21 + 4x + x2) = 0

Factor a trinomial.
24((-7 + -1x)(3 + -1x)) = 0

Ignore the factor 24.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-7, 3}

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