(2x)(3x-4)(x-10)=180

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Solution for (2x)(3x-4)(x-10)=180 equation:


Simplifying
(2x)(3x + -4)(x + -10) = 180

Remove parenthesis around (2x)
2x(3x + -4)(x + -10) = 180

Reorder the terms:
2x(-4 + 3x)(x + -10) = 180

Reorder the terms:
2x(-4 + 3x)(-10 + x) = 180

Multiply (-4 + 3x) * (-10 + x)
2x(-4(-10 + x) + 3x * (-10 + x)) = 180
2x((-10 * -4 + x * -4) + 3x * (-10 + x)) = 180
2x((40 + -4x) + 3x * (-10 + x)) = 180
2x(40 + -4x + (-10 * 3x + x * 3x)) = 180
2x(40 + -4x + (-30x + 3x2)) = 180

Combine like terms: -4x + -30x = -34x
2x(40 + -34x + 3x2) = 180
(40 * 2x + -34x * 2x + 3x2 * 2x) = 180
(80x + -68x2 + 6x3) = 180

Solving
80x + -68x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 80x + -68x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 80x + -68x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-90 + 40x + -34x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-90 + 40x + -34x2 + 3x3)' equal to zero and attempt to solve: Simplifying -90 + 40x + -34x2 + 3x3 = 0 Solving -90 + 40x + -34x2 + 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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