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

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


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

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

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

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

Combine like terms: -1x + 5x = 4x
(-5 + 4x + x2) = x2 + 4x + -2

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

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

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

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

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

Combine like terms: x2 + -1x2 = 0
-5 + 0 = -2 + x2 + -1x2
-5 = -2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 = -2 + 0
-5 = -2

Solving
-5 = -2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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