5x(x+4)(3x+5)=180

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Solution for 5x(x+4)(3x+5)=180 equation:


Simplifying
5x(x + 4)(3x + 5) = 180

Reorder the terms:
5x(4 + x)(3x + 5) = 180

Reorder the terms:
5x(4 + x)(5 + 3x) = 180

Multiply (4 + x) * (5 + 3x)
5x(4(5 + 3x) + x(5 + 3x)) = 180
5x((5 * 4 + 3x * 4) + x(5 + 3x)) = 180
5x((20 + 12x) + x(5 + 3x)) = 180
5x(20 + 12x + (5 * x + 3x * x)) = 180
5x(20 + 12x + (5x + 3x2)) = 180

Combine like terms: 12x + 5x = 17x
5x(20 + 17x + 3x2) = 180
(20 * 5x + 17x * 5x + 3x2 * 5x) = 180
(100x + 85x2 + 15x3) = 180

Solving
100x + 85x2 + 15x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 100x + 85x2 + 15x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 100x + 85x2 + 15x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + 20x + 17x2 + 3x3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-36 + 20x + 17x2 + 3x3)' equal to zero and attempt to solve: Simplifying -36 + 20x + 17x2 + 3x3 = 0 Solving -36 + 20x + 17x2 + 3x3 = 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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