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

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


Simplifying
3x2 + -7 = x2 + 8

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

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

Solving
-7 + 3x2 = 8 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-7 + 3x2 + -1x2 = 8 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-7 + 2x2 = 8 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 2x2 = 8 + 0
-7 + 2x2 = 8

Add '7' to each side of the equation.
-7 + 7 + 2x2 = 8 + 7

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

Combine like terms: 8 + 7 = 15
2x2 = 15

Divide each side by '2'.
x2 = 7.5

Simplifying
x2 = 7.5

Take the square root of each side:
x = {-2.738612788, 2.738612788}

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