(X^2-1)(x-5)=x^2+4x-2

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Solution for (X^2-1)(x-5)=x^2+4x-2 equation:


Simplifying
(X2 + -1)(x + -5) = x2 + 4x + -2

Reorder the terms:
(-1 + X2)(x + -5) = x2 + 4x + -2

Reorder the terms:
(-1 + X2)(-5 + x) = x2 + 4x + -2

Multiply (-1 + X2) * (-5 + x)
(-1(-5 + x) + X2(-5 + x)) = x2 + 4x + -2
((-5 * -1 + x * -1) + X2(-5 + x)) = x2 + 4x + -2
((5 + -1x) + X2(-5 + x)) = x2 + 4x + -2
(5 + -1x + (-5 * X2 + x * X2)) = x2 + 4x + -2
(5 + -1x + (-5X2 + xX2)) = x2 + 4x + -2

Reorder the terms:
(5 + -5X2 + -1x + xX2) = x2 + 4x + -2
(5 + -5X2 + -1x + xX2) = x2 + 4x + -2

Reorder the terms:
5 + -5X2 + -1x + xX2 = -2 + 4x + x2

Solving
5 + -5X2 + -1x + xX2 = -2 + 4x + x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -5X2 + -1x + -5 + xX2 = -2 + 4x + -5 + x2

Reorder the terms:
5 + -5 + -5X2 + -1x + xX2 = -2 + 4x + -5 + x2

Combine like terms: 5 + -5 = 0
0 + -5X2 + -1x + xX2 = -2 + 4x + -5 + x2
-5X2 + -1x + xX2 = -2 + 4x + -5 + x2

Reorder the terms:
-5X2 + -1x + xX2 = -2 + -5 + 4x + x2

Combine like terms: -2 + -5 = -7
-5X2 + -1x + xX2 = -7 + 4x + x2

Add 'x' to each side of the equation.
-5X2 + -1x + x + xX2 = -7 + 4x + x + x2

Combine like terms: -1x + x = 0
-5X2 + 0 + xX2 = -7 + 4x + x + x2
-5X2 + xX2 = -7 + 4x + x + x2

Combine like terms: 4x + x = 5x
-5X2 + xX2 = -7 + 5x + x2

Reorder the terms:
7 + -5X2 + -5x + xX2 + -1x2 = -7 + 5x + x2 + 7 + -5x + -1x2

Reorder the terms:
7 + -5X2 + -5x + xX2 + -1x2 = -7 + 7 + 5x + -5x + x2 + -1x2

Combine like terms: -7 + 7 = 0
7 + -5X2 + -5x + xX2 + -1x2 = 0 + 5x + -5x + x2 + -1x2
7 + -5X2 + -5x + xX2 + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
7 + -5X2 + -5x + xX2 + -1x2 = 0 + x2 + -1x2
7 + -5X2 + -5x + xX2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + -5X2 + -5x + xX2 + -1x2 = 0

The solution to this equation could not be determined.

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