32=x*x-2*2

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Solution for 32=x*x-2*2 equation:


Simplifying
32 = x * x + -2 * 2

Multiply x * x
32 = x2 + -2 * 2

Multiply -2 * 2
32 = x2 + -4

Reorder the terms:
32 = -4 + x2

Solving
32 = -4 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
32 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
32 + -1x2 = -4 + 0
32 + -1x2 = -4

Add '-32' to each side of the equation.
32 + -32 + -1x2 = -4 + -32

Combine like terms: 32 + -32 = 0
0 + -1x2 = -4 + -32
-1x2 = -4 + -32

Combine like terms: -4 + -32 = -36
-1x2 = -36

Divide each side by '-1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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