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

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


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

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

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

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

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

Reorder the terms:
-5 + 5X + -1x + xX = 4x + x2

Solving
-5 + 5X + -1x + xX = 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 + 5X + -1x + 5 + xX = 4x + 5 + x2

Reorder the terms:
-5 + 5 + 5X + -1x + xX = 4x + 5 + x2

Combine like terms: -5 + 5 = 0
0 + 5X + -1x + xX = 4x + 5 + x2
5X + -1x + xX = 4x + 5 + x2

Reorder the terms:
5X + -1x + xX = 5 + 4x + x2

Add 'x' to each side of the equation.
5X + -1x + x + xX = 5 + 4x + x + x2

Combine like terms: -1x + x = 0
5X + 0 + xX = 5 + 4x + x + x2
5X + xX = 5 + 4x + x + x2

Combine like terms: 4x + x = 5x
5X + xX = 5 + 5x + x2

Reorder the terms:
-5 + 5X + -5x + xX + -1x2 = 5 + 5x + x2 + -5 + -5x + -1x2

Reorder the terms:
-5 + 5X + -5x + xX + -1x2 = 5 + -5 + 5x + -5x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + 5X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
-5 + 5X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-5 + 5X + -5x + xX + -1x2 = 0 + x2 + -1x2
-5 + 5X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 5X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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