(2x-10)(3x-5)(x+15)=180

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Solution for (2x-10)(3x-5)(x+15)=180 equation: 


Simplifying
(2x + -10)(3x + -5)(x + 15) = 180

Reorder the terms:
(-10 + 2x)(3x + -5)(x + 15) = 180

Reorder the terms:
(-10 + 2x)(-5 + 3x)(x + 15) = 180

Reorder the terms:
(-10 + 2x)(-5 + 3x)(15 + x) = 180

Multiply (-10 + 2x) * (-5 + 3x)
(-10(-5 + 3x) + 2x * (-5 + 3x))(15 + x) = 180
((-5 * -10 + 3x * -10) + 2x * (-5 + 3x))(15 + x) = 180
((50 + -30x) + 2x * (-5 + 3x))(15 + x) = 180
(50 + -30x + (-5 * 2x + 3x * 2x))(15 + x) = 180
(50 + -30x + (-10x + 6x2))(15 + x) = 180

Combine like terms: -30x + -10x = -40x
(50 + -40x + 6x2)(15 + x) = 180

Multiply (50 + -40x + 6x2) * (15 + x)
(50(15 + x) + -40x * (15 + x) + 6x2 * (15 + x)) = 180
((15 * 50 + x * 50) + -40x * (15 + x) + 6x2 * (15 + x)) = 180
((750 + 50x) + -40x * (15 + x) + 6x2 * (15 + x)) = 180
(750 + 50x + (15 * -40x + x * -40x) + 6x2 * (15 + x)) = 180
(750 + 50x + (-600x + -40x2) + 6x2 * (15 + x)) = 180
(750 + 50x + -600x + -40x2 + (15 * 6x2 + x * 6x2)) = 180
(750 + 50x + -600x + -40x2 + (90x2 + 6x3)) = 180

Combine like terms: 50x + -600x = -550x
(750 + -550x + -40x2 + 90x2 + 6x3) = 180

Combine like terms: -40x2 + 90x2 = 50x2
(750 + -550x + 50x2 + 6x3) = 180

Solving
750 + -550x + 50x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
750 + -180 + -550x + 50x2 + 6x3 = 180 + -180

Combine like terms: 750 + -180 = 570
570 + -550x + 50x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
570 + -550x + 50x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(285 + -275x + 25x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(285 + -275x + 25x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
285 + -275x + 25x2 + 3x3 = 0

Solving
285 + -275x + 25x2 + 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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