=10(x+3)(x^2+x+1)

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Solution for =10(x+3)(x^2+x+1) equation: 


Simplifying
0 = 10(x + 3)(x2 + x + 1)

Reorder the terms:
0 = 10(3 + x)(x2 + x + 1)

Reorder the terms:
0 = 10(3 + x)(1 + x + x2)

Multiply (3 + x) * (1 + x + x2)
0 = 10(3(1 + x + x2) + x(1 + x + x2))
0 = 10((1 * 3 + x * 3 + x2 * 3) + x(1 + x + x2))
0 = 10((3 + 3x + 3x2) + x(1 + x + x2))
0 = 10(3 + 3x + 3x2 + (1 * x + x * x + x2 * x))
0 = 10(3 + 3x + 3x2 + (1x + x2 + x3))

Reorder the terms:
0 = 10(3 + 3x + 1x + 3x2 + x2 + x3)

Combine like terms: 3x + 1x = 4x
0 = 10(3 + 4x + 3x2 + x2 + x3)

Combine like terms: 3x2 + x2 = 4x2
0 = 10(3 + 4x + 4x2 + x3)
0 = (3 * 10 + 4x * 10 + 4x2 * 10 + x3 * 10)
0 = (30 + 40x + 40x2 + 10x3)

Solving
0 = 30 + 40x + 40x2 + 10x3

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + -40x + -40x2 + -10x3 = 30 + 40x + 40x2 + 10x3 + -30 + -40x + -40x2 + -10x3

Reorder the terms:
-30 + -40x + -40x2 + -10x3 = 30 + -30 + 40x + -40x + 40x2 + -40x2 + 10x3 + -10x3

Combine like terms: 30 + -30 = 0
-30 + -40x + -40x2 + -10x3 = 0 + 40x + -40x + 40x2 + -40x2 + 10x3 + -10x3
-30 + -40x + -40x2 + -10x3 = 40x + -40x + 40x2 + -40x2 + 10x3 + -10x3

Combine like terms: 40x + -40x = 0
-30 + -40x + -40x2 + -10x3 = 0 + 40x2 + -40x2 + 10x3 + -10x3
-30 + -40x + -40x2 + -10x3 = 40x2 + -40x2 + 10x3 + -10x3

Combine like terms: 40x2 + -40x2 = 0
-30 + -40x + -40x2 + -10x3 = 0 + 10x3 + -10x3
-30 + -40x + -40x2 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
-30 + -40x + -40x2 + -10x3 = 0

Factor out the Greatest Common Factor (GCF), '-10'.
-10(3 + 4x + 4x2 + x3) = 0

Ignore the factor -10.

Subproblem 1
Set the factor '(3 + 4x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
3 + 4x + 4x2 + x3 = 0

Solving
3 + 4x + 4x2 + 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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