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

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


Simplifying
(2x + 4)(x2 + x + -1) = (x + 3)(2x + 4)

Reorder the terms:
(4 + 2x)(x2 + x + -1) = (x + 3)(2x + 4)

Reorder the terms:
(4 + 2x)(-1 + x + x2) = (x + 3)(2x + 4)

Multiply (4 + 2x) * (-1 + x + x2)
(4(-1 + x + x2) + 2x * (-1 + x + x2)) = (x + 3)(2x + 4)
((-1 * 4 + x * 4 + x2 * 4) + 2x * (-1 + x + x2)) = (x + 3)(2x + 4)
((-4 + 4x + 4x2) + 2x * (-1 + x + x2)) = (x + 3)(2x + 4)
(-4 + 4x + 4x2 + (-1 * 2x + x * 2x + x2 * 2x)) = (x + 3)(2x + 4)
(-4 + 4x + 4x2 + (-2x + 2x2 + 2x3)) = (x + 3)(2x + 4)

Reorder the terms:
(-4 + 4x + -2x + 4x2 + 2x2 + 2x3) = (x + 3)(2x + 4)

Combine like terms: 4x + -2x = 2x
(-4 + 2x + 4x2 + 2x2 + 2x3) = (x + 3)(2x + 4)

Combine like terms: 4x2 + 2x2 = 6x2
(-4 + 2x + 6x2 + 2x3) = (x + 3)(2x + 4)

Reorder the terms:
-4 + 2x + 6x2 + 2x3 = (3 + x)(2x + 4)

Reorder the terms:
-4 + 2x + 6x2 + 2x3 = (3 + x)(4 + 2x)

Multiply (3 + x) * (4 + 2x)
-4 + 2x + 6x2 + 2x3 = (3(4 + 2x) + x(4 + 2x))
-4 + 2x + 6x2 + 2x3 = ((4 * 3 + 2x * 3) + x(4 + 2x))
-4 + 2x + 6x2 + 2x3 = ((12 + 6x) + x(4 + 2x))
-4 + 2x + 6x2 + 2x3 = (12 + 6x + (4 * x + 2x * x))
-4 + 2x + 6x2 + 2x3 = (12 + 6x + (4x + 2x2))

Combine like terms: 6x + 4x = 10x
-4 + 2x + 6x2 + 2x3 = (12 + 10x + 2x2)

Solving
-4 + 2x + 6x2 + 2x3 = 12 + 10x + 2x2

Solving for variable 'x'.

Reorder the terms:
-4 + -12 + 2x + -10x + 6x2 + -2x2 + 2x3 = 12 + 10x + 2x2 + -12 + -10x + -2x2

Combine like terms: -4 + -12 = -16
-16 + 2x + -10x + 6x2 + -2x2 + 2x3 = 12 + 10x + 2x2 + -12 + -10x + -2x2

Combine like terms: 2x + -10x = -8x
-16 + -8x + 6x2 + -2x2 + 2x3 = 12 + 10x + 2x2 + -12 + -10x + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
-16 + -8x + 4x2 + 2x3 = 12 + 10x + 2x2 + -12 + -10x + -2x2

Reorder the terms:
-16 + -8x + 4x2 + 2x3 = 12 + -12 + 10x + -10x + 2x2 + -2x2

Combine like terms: 12 + -12 = 0
-16 + -8x + 4x2 + 2x3 = 0 + 10x + -10x + 2x2 + -2x2
-16 + -8x + 4x2 + 2x3 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
-16 + -8x + 4x2 + 2x3 = 0 + 2x2 + -2x2
-16 + -8x + 4x2 + 2x3 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -8x + 4x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -4x + 2x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -4x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-8 + -4x + 2x2 + x3 = 0

Solving
-8 + -4x + 2x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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