x^2=x^2+x-6

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Solution for x^2=x^2+x-6 equation:


Simplifying
x2 = x2 + x + -6

Reorder the terms:
x2 = -6 + x + x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = -6 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -6 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -6 + x + 0
0 = -6 + x

Solving
0 = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0 + -1x = -6 + x + -1x
Remove the zero:
-1x = -6 + x + -1x

Combine like terms: x + -1x = 0
-1x = -6 + 0
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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