2x^2-7=1

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


Simplifying
2x2 + -7 = 1

Reorder the terms:
-7 + 2x2 = 1

Solving
-7 + 2x2 = 1

Solving for variable 'x'.

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

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

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

Combine like terms: 1 + 7 = 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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