(x-1)(x^2+x+5)=x^3+4x-5

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Solution for (x-1)(x^2+x+5)=x^3+4x-5 equation: 


Simplifying
(x + -1)(x2 + x + 5) = x3 + 4x + -5

Reorder the terms:
(-1 + x)(x2 + x + 5) = x3 + 4x + -5

Reorder the terms:
(-1 + x)(5 + x + x2) = x3 + 4x + -5

Multiply (-1 + x) * (5 + x + x2)
(-1(5 + x + x2) + x(5 + x + x2)) = x3 + 4x + -5
((5 * -1 + x * -1 + x2 * -1) + x(5 + x + x2)) = x3 + 4x + -5
((-5 + -1x + -1x2) + x(5 + x + x2)) = x3 + 4x + -5
(-5 + -1x + -1x2 + (5 * x + x * x + x2 * x)) = x3 + 4x + -5
(-5 + -1x + -1x2 + (5x + x2 + x3)) = x3 + 4x + -5

Reorder the terms:
(-5 + -1x + 5x + -1x2 + x2 + x3) = x3 + 4x + -5

Combine like terms: -1x + 5x = 4x
(-5 + 4x + -1x2 + x2 + x3) = x3 + 4x + -5

Combine like terms: -1x2 + x2 = 0
(-5 + 4x + 0 + x3) = x3 + 4x + -5
(-5 + 4x + x3) = x3 + 4x + -5

Reorder the terms:
-5 + 4x + x3 = -5 + 4x + x3

Add '5' to each side of the equation.
-5 + 4x + 5 + x3 = -5 + 4x + 5 + x3

Reorder the terms:
-5 + 5 + 4x + x3 = -5 + 4x + 5 + x3

Combine like terms: -5 + 5 = 0
0 + 4x + x3 = -5 + 4x + 5 + x3
4x + x3 = -5 + 4x + 5 + x3

Reorder the terms:
4x + x3 = -5 + 5 + 4x + x3

Combine like terms: -5 + 5 = 0
4x + x3 = 0 + 4x + x3
4x + x3 = 4x + x3

Add '-4x' to each side of the equation.
4x + -4x + x3 = 4x + -4x + x3

Combine like terms: 4x + -4x = 0
0 + x3 = 4x + -4x + x3
x3 = 4x + -4x + x3

Combine like terms: 4x + -4x = 0
x3 = 0 + x3
x3 = x3

Add '-1x3' to each side of the equation.
x3 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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