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

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


Simplifying
(X + -1)(x + 5) = xsquared + 4x + -2

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

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

Multiply (-1 + X) * (5 + x)
(-1(5 + x) + X(5 + x)) = xsquared + 4x + -2
((5 * -1 + x * -1) + X(5 + x)) = xsquared + 4x + -2
((-5 + -1x) + X(5 + x)) = xsquared + 4x + -2
(-5 + -1x + (5 * X + x * X)) = xsquared + 4x + -2
(-5 + -1x + (5X + xX)) = xsquared + 4x + -2

Reorder the terms:
(-5 + 5X + -1x + xX) = xsquared + 4x + -2
(-5 + 5X + -1x + xX) = xsquared + 4x + -2

Reorder the terms:
-5 + 5X + -1x + xX = -2 + adeqrsux + 4x

Solving
-5 + 5X + -1x + xX = -2 + adeqrsux + 4x

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 + 5X + -1x + 5 + xX = -2 + adeqrsux + 5 + 4x

Reorder the terms:
-5 + 5 + 5X + -1x + xX = -2 + adeqrsux + 5 + 4x

Combine like terms: -5 + 5 = 0
0 + 5X + -1x + xX = -2 + adeqrsux + 5 + 4x
5X + -1x + xX = -2 + adeqrsux + 5 + 4x

Reorder the terms:
5X + -1x + xX = -2 + 5 + adeqrsux + 4x

Combine like terms: -2 + 5 = 3
5X + -1x + xX = 3 + adeqrsux + 4x

Add 'x' to each side of the equation.
5X + -1x + x + xX = 3 + adeqrsux + 4x + x

Combine like terms: -1x + x = 0
5X + 0 + xX = 3 + adeqrsux + 4x + x
5X + xX = 3 + adeqrsux + 4x + x

Combine like terms: 4x + x = 5x
5X + xX = 3 + adeqrsux + 5x

Reorder the terms:
-3 + 5X + -1adeqrsux + -5x + xX = 3 + adeqrsux + 5x + -3 + -1adeqrsux + -5x

Reorder the terms:
-3 + 5X + -1adeqrsux + -5x + xX = 3 + -3 + adeqrsux + -1adeqrsux + 5x + -5x

Combine like terms: 3 + -3 = 0
-3 + 5X + -1adeqrsux + -5x + xX = 0 + adeqrsux + -1adeqrsux + 5x + -5x
-3 + 5X + -1adeqrsux + -5x + xX = adeqrsux + -1adeqrsux + 5x + -5x

Combine like terms: adeqrsux + -1adeqrsux = 0
-3 + 5X + -1adeqrsux + -5x + xX = 0 + 5x + -5x
-3 + 5X + -1adeqrsux + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 5X + -1adeqrsux + -5x + xX = 0

The solution to this equation could not be determined.

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