2x^2-2=7

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


Simplifying
2x2 + -2 = 7

Reorder the terms:
-2 + 2x2 = 7

Solving
-2 + 2x2 = 7

Solving for variable 'x'.

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

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

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

Combine like terms: 7 + 2 = 9
2x2 = 9

Divide each side by '2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}

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