(7x^2-2x^3)=((x-6)(x+6))+2x^2

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Solution for (7x^2-2x^3)=((x-6)(x+6))+2x^2 equation: 


Simplifying
(7x2 + -2x3) = ((x + -6)(x + 6)) + 2x2

Remove parenthesis around (7x2 + -2x3)
7x2 + -2x3 = ((x + -6)(x + 6)) + 2x2

Reorder the terms:
7x2 + -2x3 = ((-6 + x)(x + 6)) + 2x2

Reorder the terms:
7x2 + -2x3 = ((-6 + x)(6 + x)) + 2x2

Multiply (-6 + x) * (6 + x)
7x2 + -2x3 = ((-6(6 + x) + x(6 + x))) + 2x2
7x2 + -2x3 = (((6 * -6 + x * -6) + x(6 + x))) + 2x2
7x2 + -2x3 = (((-36 + -6x) + x(6 + x))) + 2x2
7x2 + -2x3 = ((-36 + -6x + (6 * x + x * x))) + 2x2
7x2 + -2x3 = ((-36 + -6x + (6x + x2))) + 2x2

Combine like terms: -6x + 6x = 0
7x2 + -2x3 = ((-36 + 0 + x2)) + 2x2
7x2 + -2x3 = ((-36 + x2)) + 2x2
7x2 + -2x3 = (-36 + x2) + 2x2

Remove parenthesis around (-36 + x2)
7x2 + -2x3 = -36 + x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
7x2 + -2x3 = -36 + 3x2

Solving
7x2 + -2x3 = -36 + 3x2

Solving for variable 'x'.

Reorder the terms:
36 + 7x2 + -3x2 + -2x3 = -36 + 3x2 + 36 + -3x2

Combine like terms: 7x2 + -3x2 = 4x2
36 + 4x2 + -2x3 = -36 + 3x2 + 36 + -3x2

Reorder the terms:
36 + 4x2 + -2x3 = -36 + 36 + 3x2 + -3x2

Combine like terms: -36 + 36 = 0
36 + 4x2 + -2x3 = 0 + 3x2 + -3x2
36 + 4x2 + -2x3 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
36 + 4x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 2x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + 2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
18 + 2x2 + -1x3 = 0

Solving
18 + 2x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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