2x^2-1=7

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Solution for 2x^2-1=7 equation: 


Simplifying
2x2 + -1 = 7

Reorder the terms:
-1 + 2x2 = 7

Solving
-1 + 2x2 = 7

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x2 = 7 + 1

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

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

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

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

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