x^2-32=-7

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Solution for x^2-32=-7 equation: 


Simplifying
x2 + -32 = -7

Reorder the terms:
-32 + x2 = -7

Solving
-32 + x2 = -7

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + x2 = -7 + 32

Combine like terms: -32 + 32 = 0
0 + x2 = -7 + 32
x2 = -7 + 32

Combine like terms: -7 + 32 = 25
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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