x^2-7=-x^2+1

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


Simplifying
x2 + -7 = -1x2 + 1

Reorder the terms:
-7 + x2 = -1x2 + 1

Reorder the terms:
-7 + x2 = 1 + -1x2

Solving
-7 + x2 = 1 + -1x2

Solving for variable 'x'.

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

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

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

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

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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