(x+2)*(2x+4)*(x+1)=36

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Solution for (x+2)*(2x+4)*(x+1)=36 equation: 


Simplifying
(x + 2)(2x + 4)(x + 1) = 36

Reorder the terms:
(2 + x)(2x + 4)(x + 1) = 36

Reorder the terms:
(2 + x)(4 + 2x)(x + 1) = 36

Reorder the terms:
(2 + x)(4 + 2x)(1 + x) = 36

Multiply (2 + x) * (4 + 2x)
(2(4 + 2x) + x(4 + 2x))(1 + x) = 36
((4 * 2 + 2x * 2) + x(4 + 2x))(1 + x) = 36
((8 + 4x) + x(4 + 2x))(1 + x) = 36
(8 + 4x + (4 * x + 2x * x))(1 + x) = 36
(8 + 4x + (4x + 2x2))(1 + x) = 36

Combine like terms: 4x + 4x = 8x
(8 + 8x + 2x2)(1 + x) = 36

Multiply (8 + 8x + 2x2) * (1 + x)
(8(1 + x) + 8x * (1 + x) + 2x2 * (1 + x)) = 36
((1 * 8 + x * 8) + 8x * (1 + x) + 2x2 * (1 + x)) = 36
((8 + 8x) + 8x * (1 + x) + 2x2 * (1 + x)) = 36
(8 + 8x + (1 * 8x + x * 8x) + 2x2 * (1 + x)) = 36
(8 + 8x + (8x + 8x2) + 2x2 * (1 + x)) = 36
(8 + 8x + 8x + 8x2 + (1 * 2x2 + x * 2x2)) = 36
(8 + 8x + 8x + 8x2 + (2x2 + 2x3)) = 36

Combine like terms: 8x + 8x = 16x
(8 + 16x + 8x2 + 2x2 + 2x3) = 36

Combine like terms: 8x2 + 2x2 = 10x2
(8 + 16x + 10x2 + 2x3) = 36

Solving
8 + 16x + 10x2 + 2x3 = 36

Solving for variable 'x'.

Reorder the terms:
8 + -36 + 16x + 10x2 + 2x3 = 36 + -36

Combine like terms: 8 + -36 = -28
-28 + 16x + 10x2 + 2x3 = 36 + -36

Combine like terms: 36 + -36 = 0
-28 + 16x + 10x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 8x + 5x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-14 + 8x + 5x2 + x3)' equal to zero and attempt to solve:

Simplifying
-14 + 8x + 5x2 + x3 = 0

Solving
-14 + 8x + 5x2 + 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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