(3x+2)(2x+5)(3x-9)=180

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Solution for (3x+2)(2x+5)(3x-9)=180 equation: 


Simplifying
(3x + 2)(2x + 5)(3x + -9) = 180

Reorder the terms:
(2 + 3x)(2x + 5)(3x + -9) = 180

Reorder the terms:
(2 + 3x)(5 + 2x)(3x + -9) = 180

Reorder the terms:
(2 + 3x)(5 + 2x)(-9 + 3x) = 180

Multiply (2 + 3x) * (5 + 2x)
(2(5 + 2x) + 3x * (5 + 2x))(-9 + 3x) = 180
((5 * 2 + 2x * 2) + 3x * (5 + 2x))(-9 + 3x) = 180
((10 + 4x) + 3x * (5 + 2x))(-9 + 3x) = 180
(10 + 4x + (5 * 3x + 2x * 3x))(-9 + 3x) = 180
(10 + 4x + (15x + 6x2))(-9 + 3x) = 180

Combine like terms: 4x + 15x = 19x
(10 + 19x + 6x2)(-9 + 3x) = 180

Multiply (10 + 19x + 6x2) * (-9 + 3x)
(10(-9 + 3x) + 19x * (-9 + 3x) + 6x2 * (-9 + 3x)) = 180
((-9 * 10 + 3x * 10) + 19x * (-9 + 3x) + 6x2 * (-9 + 3x)) = 180
((-90 + 30x) + 19x * (-9 + 3x) + 6x2 * (-9 + 3x)) = 180
(-90 + 30x + (-9 * 19x + 3x * 19x) + 6x2 * (-9 + 3x)) = 180
(-90 + 30x + (-171x + 57x2) + 6x2 * (-9 + 3x)) = 180
(-90 + 30x + -171x + 57x2 + (-9 * 6x2 + 3x * 6x2)) = 180
(-90 + 30x + -171x + 57x2 + (-54x2 + 18x3)) = 180

Combine like terms: 30x + -171x = -141x
(-90 + -141x + 57x2 + -54x2 + 18x3) = 180

Combine like terms: 57x2 + -54x2 = 3x2
(-90 + -141x + 3x2 + 18x3) = 180

Solving
-90 + -141x + 3x2 + 18x3 = 180

Solving for variable 'x'.

Reorder the terms:
-90 + -180 + -141x + 3x2 + 18x3 = 180 + -180

Combine like terms: -90 + -180 = -270
-270 + -141x + 3x2 + 18x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-270 + -141x + 3x2 + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-90 + -47x + x2 + 6x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-90 + -47x + x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-90 + -47x + x2 + 6x3 = 0

Solving
-90 + -47x + x2 + 6x3 = 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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