(2x^3+8x^2)+14=36x^2+14

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Solution for (2x^3+8x^2)+14=36x^2+14 equation: 


Simplifying
(2x3 + 8x2) + 14 = 36x2 + 14

Reorder the terms:
(8x2 + 2x3) + 14 = 36x2 + 14

Remove parenthesis around (8x2 + 2x3)
8x2 + 2x3 + 14 = 36x2 + 14

Reorder the terms:
14 + 8x2 + 2x3 = 36x2 + 14

Reorder the terms:
14 + 8x2 + 2x3 = 14 + 36x2

Add '-14' to each side of the equation.
14 + 8x2 + -14 + 2x3 = 14 + -14 + 36x2

Reorder the terms:
14 + -14 + 8x2 + 2x3 = 14 + -14 + 36x2

Combine like terms: 14 + -14 = 0
0 + 8x2 + 2x3 = 14 + -14 + 36x2
8x2 + 2x3 = 14 + -14 + 36x2

Combine like terms: 14 + -14 = 0
8x2 + 2x3 = 0 + 36x2
8x2 + 2x3 = 36x2

Solving
8x2 + 2x3 = 36x2

Solving for variable 'x'.

Reorder the terms:
8x2 + -36x2 + 2x3 = 36x2 + -36x2

Combine like terms: 8x2 + -36x2 = -28x2
-28x2 + 2x3 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-28x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-14 + x) = 0

Ignore the factor 2.

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 '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14
Solution
x = {0, 14}

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