(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 = 3
5X2 + -1x + xX2 = 3 + 4x + x2

Add 'x' to each side of the equation.
5X2 + -1x + x + xX2 = 3 + 4x + x + x2

Combine like terms: -1x + x = 0
5X2 + 0 + xX2 = 3 + 4x + x + x2
5X2 + xX2 = 3 + 4x + x + x2

Combine like terms: 4x + x = 5x
5X2 + xX2 = 3 + 5x + x2

Reorder the terms:
-3 + 5X2 + -5x + xX2 + -1x2 = 3 + 5x + x2 + -3 + -5x + -1x2

Reorder the terms:
-3 + 5X2 + -5x + xX2 + -1x2 = 3 + -3 + 5x + -5x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 5X2 + -5x + xX2 + -1x2 = 0 + 5x + -5x + x2 + -1x2
-3 + 5X2 + -5x + xX2 + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-3 + 5X2 + -5x + xX2 + -1x2 = 0 + x2 + -1x2
-3 + 5X2 + -5x + xX2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 5X2 + -5x + xX2 + -1x2 = 0

The solution to this equation could not be determined.

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