8x^2(-6x-7)=0

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Solution for 8x^2(-6x-7)=0 equation: 


Simplifying
8x2(-6x + -7) = 0

Reorder the terms:
8x2(-7 + -6x) = 0
(-7 * 8x2 + -6x * 8x2) = 0
(-56x2 + -48x3) = 0

Solving
-56x2 + -48x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-8x2'.
-8x2(7 + 6x) = 0

Ignore the factor -8.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 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 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667
Solution
x = {0, -1.166666667}

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