X^2+2x-32=x^2-x-6

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Solution for X^2+2x-32=x^2-x-6 equation:


Simplifying
X2 + 2x + -32 = x2 + -1x + -6

Reorder the terms:
-32 + X2 + 2x = x2 + -1x + -6

Reorder the terms:
-32 + X2 + 2x = -6 + -1x + x2

Solving
-32 + X2 + 2x = -6 + -1x + x2

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 + X2 + 32 + 2x = -6 + -1x + 32 + x2

Reorder the terms:
-32 + 32 + X2 + 2x = -6 + -1x + 32 + x2

Combine like terms: -32 + 32 = 0
0 + X2 + 2x = -6 + -1x + 32 + x2
X2 + 2x = -6 + -1x + 32 + x2

Reorder the terms:
X2 + 2x = -6 + 32 + -1x + x2

Combine like terms: -6 + 32 = 26
X2 + 2x = 26 + -1x + x2

Add '-2x' to each side of the equation.
X2 + 2x + -2x = 26 + -1x + -2x + x2

Combine like terms: 2x + -2x = 0
X2 + 0 = 26 + -1x + -2x + x2
X2 = 26 + -1x + -2x + x2

Combine like terms: -1x + -2x = -3x
X2 = 26 + -3x + x2

Simplifying
X2 = 26 + -3x + x2

Reorder the terms:
-26 + X2 + 3x + -1x2 = 26 + -3x + x2 + -26 + 3x + -1x2

Reorder the terms:
-26 + X2 + 3x + -1x2 = 26 + -26 + -3x + 3x + x2 + -1x2

Combine like terms: 26 + -26 = 0
-26 + X2 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
-26 + X2 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-26 + X2 + 3x + -1x2 = 0 + x2 + -1x2
-26 + X2 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-26 + X2 + 3x + -1x2 = 0

The solution to this equation could not be determined.

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