x^2-7=-1

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


Simplifying
x2 + -7 = -1

Reorder the terms:
-7 + x2 = -1

Solving
-7 + x2 = -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 + x2 = -1 + 7

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

Combine like terms: -1 + 7 = 6
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}

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