12x^2+8=16x^2-8

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Solution for 12x^2+8=16x^2-8 equation: 


Simplifying
12x2 + 8 = 16x2 + -8

Reorder the terms:
8 + 12x2 = 16x2 + -8

Reorder the terms:
8 + 12x2 = -8 + 16x2

Solving
8 + 12x2 = -8 + 16x2

Solving for variable 'x'.

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

Add '-16x2' to each side of the equation.
8 + 12x2 + -16x2 = -8 + 16x2 + -16x2

Combine like terms: 12x2 + -16x2 = -4x2
8 + -4x2 = -8 + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
8 + -4x2 = -8 + 0
8 + -4x2 = -8

Add '-8' to each side of the equation.
8 + -8 + -4x2 = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -4x2 = -8 + -8
-4x2 = -8 + -8

Combine like terms: -8 + -8 = -16
-4x2 = -16

Divide each side by '-4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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