(18x)((6x^2)-8x+3)+((9x^2)-8)(12x-8)=

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Solution for (18x)((6x^2)-8x+3)+((9x^2)-8)(12x-8)= equation: 


Simplifying
(18x)((6x2) + -8x + 3) + ((9x2) + -8)(12x + -8) = 0

Remove parenthesis around (18x)
18x((6x2) + -8x + 3) + ((9x2) + -8)(12x + -8) = 0

Reorder the terms:
18x(3 + -8x + (6x2)) + ((9x2) + -8)(12x + -8) = 0
(3 * 18x + -8x * 18x + (6x2) * 18x) + ((9x2) + -8)(12x + -8) = 0
(54x + -144x2 + 108x3) + ((9x2) + -8)(12x + -8) = 0

Reorder the terms:
54x + -144x2 + 108x3 + (-8 + (9x2))(12x + -8) = 0

Reorder the terms:
54x + -144x2 + 108x3 + (-8 + (9x2))(-8 + 12x) = 0

Multiply (-8 + (9x2)) * (-8 + 12x)
54x + -144x2 + 108x3 + (-8(-8 + 12x) + (9x2)(-8 + 12x)) = 0
54x + -144x2 + 108x3 + ((-8 * -8 + 12x * -8) + (9x2)(-8 + 12x)) = 0
54x + -144x2 + 108x3 + ((64 + -96x) + (9x2)(-8 + 12x)) = 0
54x + -144x2 + 108x3 + (64 + -96x + (-8 * 9x2 + 12x * 9x2)) = 0
54x + -144x2 + 108x3 + (64 + -96x + (-72x2 + 108x3)) = 0
54x + -144x2 + 108x3 + (64 + -96x + -72x2 + 108x3) = 0

Reorder the terms:
64 + 54x + -96x + -144x2 + -72x2 + 108x3 + 108x3 = 0

Combine like terms: 54x + -96x = -42x
64 + -42x + -144x2 + -72x2 + 108x3 + 108x3 = 0

Combine like terms: -144x2 + -72x2 = -216x2
64 + -42x + -216x2 + 108x3 + 108x3 = 0

Combine like terms: 108x3 + 108x3 = 216x3
64 + -42x + -216x2 + 216x3 = 0

Solving
64 + -42x + -216x2 + 216x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -21x + -108x2 + 108x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(32 + -21x + -108x2 + 108x3)' equal to zero and attempt to solve:

Simplifying
32 + -21x + -108x2 + 108x3 = 0

Solving
32 + -21x + -108x2 + 108x3 = 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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