x^2-12=36-2x^2

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Solution for x^2-12=36-2x^2 equation: 


Simplifying
x2 + -12 = 36 + -2x2

Reorder the terms:
-12 + x2 = 36 + -2x2

Solving
-12 + x2 = 36 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
-12 + x2 + 2x2 = 36 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
-12 + 3x2 = 36 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-12 + 3x2 = 36 + 0
-12 + 3x2 = 36

Add '12' to each side of the equation.
-12 + 12 + 3x2 = 36 + 12

Combine like terms: -12 + 12 = 0
0 + 3x2 = 36 + 12
3x2 = 36 + 12

Combine like terms: 36 + 12 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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