(8x-1)(3x+9)(3x+4)=180

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Solution for (8x-1)(3x+9)(3x+4)=180 equation: 


Simplifying
(8x + -1)(3x + 9)(3x + 4) = 180

Reorder the terms:
(-1 + 8x)(3x + 9)(3x + 4) = 180

Reorder the terms:
(-1 + 8x)(9 + 3x)(3x + 4) = 180

Reorder the terms:
(-1 + 8x)(9 + 3x)(4 + 3x) = 180

Multiply (-1 + 8x) * (9 + 3x)
(-1(9 + 3x) + 8x * (9 + 3x))(4 + 3x) = 180
((9 * -1 + 3x * -1) + 8x * (9 + 3x))(4 + 3x) = 180
((-9 + -3x) + 8x * (9 + 3x))(4 + 3x) = 180
(-9 + -3x + (9 * 8x + 3x * 8x))(4 + 3x) = 180
(-9 + -3x + (72x + 24x2))(4 + 3x) = 180

Combine like terms: -3x + 72x = 69x
(-9 + 69x + 24x2)(4 + 3x) = 180

Multiply (-9 + 69x + 24x2) * (4 + 3x)
(-9(4 + 3x) + 69x * (4 + 3x) + 24x2 * (4 + 3x)) = 180
((4 * -9 + 3x * -9) + 69x * (4 + 3x) + 24x2 * (4 + 3x)) = 180
((-36 + -27x) + 69x * (4 + 3x) + 24x2 * (4 + 3x)) = 180
(-36 + -27x + (4 * 69x + 3x * 69x) + 24x2 * (4 + 3x)) = 180
(-36 + -27x + (276x + 207x2) + 24x2 * (4 + 3x)) = 180
(-36 + -27x + 276x + 207x2 + (4 * 24x2 + 3x * 24x2)) = 180
(-36 + -27x + 276x + 207x2 + (96x2 + 72x3)) = 180

Combine like terms: -27x + 276x = 249x
(-36 + 249x + 207x2 + 96x2 + 72x3) = 180

Combine like terms: 207x2 + 96x2 = 303x2
(-36 + 249x + 303x2 + 72x3) = 180

Solving
-36 + 249x + 303x2 + 72x3 = 180

Solving for variable 'x'.

Reorder the terms:
-36 + -180 + 249x + 303x2 + 72x3 = 180 + -180

Combine like terms: -36 + -180 = -216
-216 + 249x + 303x2 + 72x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-216 + 249x + 303x2 + 72x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-72 + 83x + 101x2 + 24x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-72 + 83x + 101x2 + 24x3)' equal to zero and attempt to solve:

Simplifying
-72 + 83x + 101x2 + 24x3 = 0

Solving
-72 + 83x + 101x2 + 24x3 = 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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