(x+5)(2x+6)(3x-27)=0

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Solution for (x+5)(2x+6)(3x-27)=0 equation: 


Simplifying
(x + 5)(2x + 6)(3x + -27) = 0

Reorder the terms:
(5 + x)(2x + 6)(3x + -27) = 0

Reorder the terms:
(5 + x)(6 + 2x)(3x + -27) = 0

Reorder the terms:
(5 + x)(6 + 2x)(-27 + 3x) = 0

Multiply (5 + x) * (6 + 2x)
(5(6 + 2x) + x(6 + 2x))(-27 + 3x) = 0
((6 * 5 + 2x * 5) + x(6 + 2x))(-27 + 3x) = 0
((30 + 10x) + x(6 + 2x))(-27 + 3x) = 0
(30 + 10x + (6 * x + 2x * x))(-27 + 3x) = 0
(30 + 10x + (6x + 2x2))(-27 + 3x) = 0

Combine like terms: 10x + 6x = 16x
(30 + 16x + 2x2)(-27 + 3x) = 0

Multiply (30 + 16x + 2x2) * (-27 + 3x)
(30(-27 + 3x) + 16x * (-27 + 3x) + 2x2 * (-27 + 3x)) = 0
((-27 * 30 + 3x * 30) + 16x * (-27 + 3x) + 2x2 * (-27 + 3x)) = 0
((-810 + 90x) + 16x * (-27 + 3x) + 2x2 * (-27 + 3x)) = 0
(-810 + 90x + (-27 * 16x + 3x * 16x) + 2x2 * (-27 + 3x)) = 0
(-810 + 90x + (-432x + 48x2) + 2x2 * (-27 + 3x)) = 0
(-810 + 90x + -432x + 48x2 + (-27 * 2x2 + 3x * 2x2)) = 0
(-810 + 90x + -432x + 48x2 + (-54x2 + 6x3)) = 0

Combine like terms: 90x + -432x = -342x
(-810 + -342x + 48x2 + -54x2 + 6x3) = 0

Combine like terms: 48x2 + -54x2 = -6x2
(-810 + -342x + -6x2 + 6x3) = 0

Solving
-810 + -342x + -6x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-135 + -57x + -1x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-135 + -57x + -1x2 + x3)' equal to zero and attempt to solve:

Simplifying
-135 + -57x + -1x2 + x3 = 0

Solving
-135 + -57x + -1x2 + 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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