=(6x+3)(x^2-3x+1)

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Solution for =(6x+3)(x^2-3x+1) equation: 


Simplifying
0 = (6x + 3)(x2 + -3x + 1)

Reorder the terms:
0 = (3 + 6x)(x2 + -3x + 1)

Reorder the terms:
0 = (3 + 6x)(1 + -3x + x2)

Multiply (3 + 6x) * (1 + -3x + x2)
0 = (3(1 + -3x + x2) + 6x * (1 + -3x + x2))
0 = ((1 * 3 + -3x * 3 + x2 * 3) + 6x * (1 + -3x + x2))
0 = ((3 + -9x + 3x2) + 6x * (1 + -3x + x2))
0 = (3 + -9x + 3x2 + (1 * 6x + -3x * 6x + x2 * 6x))
0 = (3 + -9x + 3x2 + (6x + -18x2 + 6x3))

Reorder the terms:
0 = (3 + -9x + 6x + 3x2 + -18x2 + 6x3)

Combine like terms: -9x + 6x = -3x
0 = (3 + -3x + 3x2 + -18x2 + 6x3)

Combine like terms: 3x2 + -18x2 = -15x2
0 = (3 + -3x + -15x2 + 6x3)

Solving
0 = 3 + -3x + -15x2 + 6x3

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + 3x + 15x2 + -6x3 = 3 + -3x + -15x2 + 6x3 + -3 + 3x + 15x2 + -6x3

Reorder the terms:
-3 + 3x + 15x2 + -6x3 = 3 + -3 + -3x + 3x + -15x2 + 15x2 + 6x3 + -6x3

Combine like terms: 3 + -3 = 0
-3 + 3x + 15x2 + -6x3 = 0 + -3x + 3x + -15x2 + 15x2 + 6x3 + -6x3
-3 + 3x + 15x2 + -6x3 = -3x + 3x + -15x2 + 15x2 + 6x3 + -6x3

Combine like terms: -3x + 3x = 0
-3 + 3x + 15x2 + -6x3 = 0 + -15x2 + 15x2 + 6x3 + -6x3
-3 + 3x + 15x2 + -6x3 = -15x2 + 15x2 + 6x3 + -6x3

Combine like terms: -15x2 + 15x2 = 0
-3 + 3x + 15x2 + -6x3 = 0 + 6x3 + -6x3
-3 + 3x + 15x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-3 + 3x + 15x2 + -6x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + x + 5x2 + -2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + x + 5x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-1 + x + 5x2 + -2x3 = 0

Solving
-1 + x + 5x2 + -2x3 = 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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