(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 for easier multiplication:
7x2 + -2x3 = ((6x)(x * 6)) + 2x2

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

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

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

Reorder the terms for easier multiplication:
7x2 + -2x3 = (6 * 6x * x) + 2x2

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

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

Combine like terms: (36x2) + 2x2 = 38x2
7x2 + -2x3 = 38x2

Solving
7x2 + -2x3 = 38x2

Solving for variable 'x'.

Reorder the terms:
7x2 + -38x2 + -2x3 = 38x2 + -38x2

Combine like terms: 7x2 + -38x2 = -31x2
-31x2 + -2x3 = 38x2 + -38x2

Combine like terms: 38x2 + -38x2 = 0
-31x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(31 + 2x) = 0

Ignore the factor -1.

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 '(31 + 2x)' equal to zero and attempt to solve:

Simplifying
31 + 2x = 0

Solving
31 + 2x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 2x = 0 + -31
2x = 0 + -31

Combine like terms: 0 + -31 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5
Solution
x = {0, -15.5}

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