0=(x+3)(x+6)(x+1)

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Solution for 0=(x+3)(x+6)(x+1) equation: 


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

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

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

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

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

Combine like terms: 3x + 6x = 9x
0 = (18 + 9x + x2)(1 + x)

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

Combine like terms: 18x + 9x = 27x
0 = (18 + 27x + 9x2 + 1x2 + x3)

Combine like terms: 9x2 + 1x2 = 10x2
0 = (18 + 27x + 10x2 + x3)

Solving
0 = 18 + 27x + 10x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + -18 = -18
-18 + -27x + -10x2 + -1x3 = 18 + 27x + 10x2 + x3 + -18 + -27x + -10x2 + -1x3

Reorder the terms:
-18 + -27x + -10x2 + -1x3 = 18 + -18 + 27x + -27x + 10x2 + -10x2 + x3 + -1x3

Combine like terms: 18 + -18 = 0
-18 + -27x + -10x2 + -1x3 = 0 + 27x + -27x + 10x2 + -10x2 + x3 + -1x3
-18 + -27x + -10x2 + -1x3 = 27x + -27x + 10x2 + -10x2 + x3 + -1x3

Combine like terms: 27x + -27x = 0
-18 + -27x + -10x2 + -1x3 = 0 + 10x2 + -10x2 + x3 + -1x3
-18 + -27x + -10x2 + -1x3 = 10x2 + -10x2 + x3 + -1x3

Combine like terms: 10x2 + -10x2 = 0
-18 + -27x + -10x2 + -1x3 = 0 + x3 + -1x3
-18 + -27x + -10x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-18 + -27x + -10x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18 + 27x + 10x2 + x3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(18 + 27x + 10x2 + x3)' equal to zero and attempt to solve:

Simplifying
18 + 27x + 10x2 + x3 = 0

Solving
18 + 27x + 10x2 + 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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