3x^2-8=7-2x^2

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Solution for 3x^2-8=7-2x^2 equation: 


Simplifying
3x2 + -8 = 7 + -2x2

Reorder the terms:
-8 + 3x2 = 7 + -2x2

Solving
-8 + 3x2 = 7 + -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 = 7 + -2x2 + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
-8 + 5x2 = 7 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-8 + 5x2 = 7 + 0
-8 + 5x2 = 7

Add '8' to each side of the equation.
-8 + 8 + 5x2 = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x2 = 7 + 8
5x2 = 7 + 8

Combine like terms: 7 + 8 = 15
5x2 = 15

Divide each side by '5'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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