(3x)(x-15)(2x+15)=180

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Solution for (3x)(x-15)(2x+15)=180 equation:


Simplifying
(3x)(x + -15)(2x + 15) = 180

Remove parenthesis around (3x)
3x(x + -15)(2x + 15) = 180

Reorder the terms:
3x(-15 + x)(2x + 15) = 180

Reorder the terms:
3x(-15 + x)(15 + 2x) = 180

Multiply (-15 + x) * (15 + 2x)
3x(-15(15 + 2x) + x(15 + 2x)) = 180
3x((15 * -15 + 2x * -15) + x(15 + 2x)) = 180
3x((-225 + -30x) + x(15 + 2x)) = 180
3x(-225 + -30x + (15 * x + 2x * x)) = 180
3x(-225 + -30x + (15x + 2x2)) = 180

Combine like terms: -30x + 15x = -15x
3x(-225 + -15x + 2x2) = 180
(-225 * 3x + -15x * 3x + 2x2 * 3x) = 180
(-675x + -45x2 + 6x3) = 180

Solving
-675x + -45x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -675x + -45x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -675x + -45x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-60 + -225x + -15x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-60 + -225x + -15x2 + 2x3)' equal to zero and attempt to solve: Simplifying -60 + -225x + -15x2 + 2x3 = 0 Solving -60 + -225x + -15x2 + 2x3 = 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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