2x^3+8x^2-11x-5=(x+5)(2x^2-2x-1)

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Solution for 2x^3+8x^2-11x-5=(x+5)(2x^2-2x-1) equation: 


Simplifying
2x3 + 8x2 + -11x + -5 = (x + 5)(2x2 + -2x + -1)

Reorder the terms:
-5 + -11x + 8x2 + 2x3 = (x + 5)(2x2 + -2x + -1)

Reorder the terms:
-5 + -11x + 8x2 + 2x3 = (5 + x)(2x2 + -2x + -1)

Reorder the terms:
-5 + -11x + 8x2 + 2x3 = (5 + x)(-1 + -2x + 2x2)

Multiply (5 + x) * (-1 + -2x + 2x2)
-5 + -11x + 8x2 + 2x3 = (5(-1 + -2x + 2x2) + x(-1 + -2x + 2x2))
-5 + -11x + 8x2 + 2x3 = ((-1 * 5 + -2x * 5 + 2x2 * 5) + x(-1 + -2x + 2x2))
-5 + -11x + 8x2 + 2x3 = ((-5 + -10x + 10x2) + x(-1 + -2x + 2x2))
-5 + -11x + 8x2 + 2x3 = (-5 + -10x + 10x2 + (-1 * x + -2x * x + 2x2 * x))
-5 + -11x + 8x2 + 2x3 = (-5 + -10x + 10x2 + (-1x + -2x2 + 2x3))

Reorder the terms:
-5 + -11x + 8x2 + 2x3 = (-5 + -10x + -1x + 10x2 + -2x2 + 2x3)

Combine like terms: -10x + -1x = -11x
-5 + -11x + 8x2 + 2x3 = (-5 + -11x + 10x2 + -2x2 + 2x3)

Combine like terms: 10x2 + -2x2 = 8x2
-5 + -11x + 8x2 + 2x3 = (-5 + -11x + 8x2 + 2x3)

Add '5' to each side of the equation.
-5 + -11x + 8x2 + 5 + 2x3 = -5 + -11x + 8x2 + 5 + 2x3

Reorder the terms:
-5 + 5 + -11x + 8x2 + 2x3 = -5 + -11x + 8x2 + 5 + 2x3

Combine like terms: -5 + 5 = 0
0 + -11x + 8x2 + 2x3 = -5 + -11x + 8x2 + 5 + 2x3
-11x + 8x2 + 2x3 = -5 + -11x + 8x2 + 5 + 2x3

Reorder the terms:
-11x + 8x2 + 2x3 = -5 + 5 + -11x + 8x2 + 2x3

Combine like terms: -5 + 5 = 0
-11x + 8x2 + 2x3 = 0 + -11x + 8x2 + 2x3
-11x + 8x2 + 2x3 = -11x + 8x2 + 2x3

Add '11x' to each side of the equation.
-11x + 8x2 + 11x + 2x3 = -11x + 8x2 + 11x + 2x3

Reorder the terms:
-11x + 11x + 8x2 + 2x3 = -11x + 8x2 + 11x + 2x3

Combine like terms: -11x + 11x = 0
0 + 8x2 + 2x3 = -11x + 8x2 + 11x + 2x3
8x2 + 2x3 = -11x + 8x2 + 11x + 2x3

Reorder the terms:
8x2 + 2x3 = -11x + 11x + 8x2 + 2x3

Combine like terms: -11x + 11x = 0
8x2 + 2x3 = 0 + 8x2 + 2x3
8x2 + 2x3 = 8x2 + 2x3

Add '-8x2' to each side of the equation.
8x2 + -8x2 + 2x3 = 8x2 + -8x2 + 2x3

Combine like terms: 8x2 + -8x2 = 0
0 + 2x3 = 8x2 + -8x2 + 2x3
2x3 = 8x2 + -8x2 + 2x3

Combine like terms: 8x2 + -8x2 = 0
2x3 = 0 + 2x3
2x3 = 2x3

Add '-2x3' to each side of the equation.
2x3 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
0 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 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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