X^2-4x-31=x-7

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Solution for X^2-4x-31=x-7 equation:


Simplifying
X2 + -4x + -31 = x + -7

Reorder the terms:
-31 + X2 + -4x = x + -7

Reorder the terms:
-31 + X2 + -4x = -7 + x

Solving
-31 + X2 + -4x = -7 + x

Solving for variable 'X'.

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

Add '31' to each side of the equation.
-31 + X2 + 31 + -4x = -7 + 31 + x

Reorder the terms:
-31 + 31 + X2 + -4x = -7 + 31 + x

Combine like terms: -31 + 31 = 0
0 + X2 + -4x = -7 + 31 + x
X2 + -4x = -7 + 31 + x

Combine like terms: -7 + 31 = 24
X2 + -4x = 24 + x

Add '4x' to each side of the equation.
X2 + -4x + 4x = 24 + x + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 = 24 + x + 4x
X2 = 24 + x + 4x

Combine like terms: x + 4x = 5x
X2 = 24 + 5x

Simplifying
X2 = 24 + 5x

Reorder the terms:
-24 + X2 + -5x = 24 + 5x + -24 + -5x

Reorder the terms:
-24 + X2 + -5x = 24 + -24 + 5x + -5x

Combine like terms: 24 + -24 = 0
-24 + X2 + -5x = 0 + 5x + -5x
-24 + X2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + X2 + -5x = 0

The solution to this equation could not be determined.

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