(x-4)(x+5)=x+4

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


Simplifying
(x + -4)(x + 5) = x + 4

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

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

Multiply (-4 + x) * (5 + x)
(-4(5 + x) + x(5 + x)) = x + 4
((5 * -4 + x * -4) + x(5 + x)) = x + 4
((-20 + -4x) + x(5 + x)) = x + 4
(-20 + -4x + (5 * x + x * x)) = x + 4
(-20 + -4x + (5x + x2)) = x + 4

Combine like terms: -4x + 5x = 1x
(-20 + 1x + x2) = x + 4

Reorder the terms:
-20 + 1x + x2 = 4 + x

Solving
-20 + 1x + x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
-20 + -4 + 1x + -1x + x2 = 4 + x + -4 + -1x

Combine like terms: -20 + -4 = -24
-24 + 1x + -1x + x2 = 4 + x + -4 + -1x

Combine like terms: 1x + -1x = 0
-24 + 0 + x2 = 4 + x + -4 + -1x
-24 + x2 = 4 + x + -4 + -1x

Reorder the terms:
-24 + x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
-24 + x2 = 0 + x + -1x
-24 + x2 = x + -1x

Combine like terms: x + -1x = 0
-24 + x2 = 0

The solution to this equation could not be determined.

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