-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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