18x^232=2(3x+[1])(3x-4)

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Solution for 18x^232=2(3x+[1])(3x-4) equation: 


Simplifying
18x232 = 2(3x + [1])(3x + -4)
18x232 = 2(3x + 1)(3x + -4)

Reorder the terms:
18x232 = 2(1 + 3x)(3x + -4)

Reorder the terms:
18x232 = 2(1 + 3x)(-4 + 3x)

Multiply (1 + 3x) * (-4 + 3x)
18x232 = 2(1(-4 + 3x) + 3x * (-4 + 3x))
18x232 = 2((-4 * 1 + 3x * 1) + 3x * (-4 + 3x))
18x232 = 2((-4 + 3x) + 3x * (-4 + 3x))
18x232 = 2(-4 + 3x + (-4 * 3x + 3x * 3x))
18x232 = 2(-4 + 3x + (-12x + 9x2))

Combine like terms: 3x + -12x = -9x
18x232 = 2(-4 + -9x + 9x2)
18x232 = (-4 * 2 + -9x * 2 + 9x2 * 2)
18x232 = (-8 + -18x + 18x2)

Solving
18x232 = -8 + -18x + 18x2

Solving for variable 'x'.

Reorder the terms:
8 + 18x + -18x2 + 18x232 = -8 + -18x + 18x2 + 8 + 18x + -18x2

Reorder the terms:
8 + 18x + -18x2 + 18x232 = -8 + 8 + -18x + 18x + 18x2 + -18x2

Combine like terms: -8 + 8 = 0
8 + 18x + -18x2 + 18x232 = 0 + -18x + 18x + 18x2 + -18x2
8 + 18x + -18x2 + 18x232 = -18x + 18x + 18x2 + -18x2

Combine like terms: -18x + 18x = 0
8 + 18x + -18x2 + 18x232 = 0 + 18x2 + -18x2
8 + 18x + -18x2 + 18x232 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
8 + 18x + -18x2 + 18x232 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 9x + -9x2 + 9x232) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 9x + -9x2 + 9x232)' equal to zero and attempt to solve:

Simplifying
4 + 9x + -9x2 + 9x232 = 0

Solving
4 + 9x + -9x2 + 9x232 = 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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