3x^2+8=2x^2+152

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Solution for 3x^2+8=2x^2+152 equation: 


Simplifying
3x2 + 8 = 2x2 + 152

Reorder the terms:
8 + 3x2 = 2x2 + 152

Reorder the terms:
8 + 3x2 = 152 + 2x2

Solving
8 + 3x2 = 152 + 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.
8 + 3x2 + -2x2 = 152 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
8 + 1x2 = 152 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + 1x2 = 152 + 0
8 + 1x2 = 152

Add '-8' to each side of the equation.
8 + -8 + 1x2 = 152 + -8

Combine like terms: 8 + -8 = 0
0 + 1x2 = 152 + -8
1x2 = 152 + -8

Combine like terms: 152 + -8 = 144
1x2 = 144

Divide each side by '1'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}

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