(2x-7)(x+25)(3x+12)=180

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Solution for (2x-7)(x+25)(3x+12)=180 equation: 


Simplifying
(2x + -7)(x + 25)(3x + 12) = 180

Reorder the terms:
(-7 + 2x)(x + 25)(3x + 12) = 180

Reorder the terms:
(-7 + 2x)(25 + x)(3x + 12) = 180

Reorder the terms:
(-7 + 2x)(25 + x)(12 + 3x) = 180

Multiply (-7 + 2x) * (25 + x)
(-7(25 + x) + 2x * (25 + x))(12 + 3x) = 180
((25 * -7 + x * -7) + 2x * (25 + x))(12 + 3x) = 180
((-175 + -7x) + 2x * (25 + x))(12 + 3x) = 180
(-175 + -7x + (25 * 2x + x * 2x))(12 + 3x) = 180
(-175 + -7x + (50x + 2x2))(12 + 3x) = 180

Combine like terms: -7x + 50x = 43x
(-175 + 43x + 2x2)(12 + 3x) = 180

Multiply (-175 + 43x + 2x2) * (12 + 3x)
(-175(12 + 3x) + 43x * (12 + 3x) + 2x2 * (12 + 3x)) = 180
((12 * -175 + 3x * -175) + 43x * (12 + 3x) + 2x2 * (12 + 3x)) = 180
((-2100 + -525x) + 43x * (12 + 3x) + 2x2 * (12 + 3x)) = 180
(-2100 + -525x + (12 * 43x + 3x * 43x) + 2x2 * (12 + 3x)) = 180
(-2100 + -525x + (516x + 129x2) + 2x2 * (12 + 3x)) = 180
(-2100 + -525x + 516x + 129x2 + (12 * 2x2 + 3x * 2x2)) = 180
(-2100 + -525x + 516x + 129x2 + (24x2 + 6x3)) = 180

Combine like terms: -525x + 516x = -9x
(-2100 + -9x + 129x2 + 24x2 + 6x3) = 180

Combine like terms: 129x2 + 24x2 = 153x2
(-2100 + -9x + 153x2 + 6x3) = 180

Solving
-2100 + -9x + 153x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
-2100 + -180 + -9x + 153x2 + 6x3 = 180 + -180

Combine like terms: -2100 + -180 = -2280
-2280 + -9x + 153x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-2280 + -9x + 153x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-760 + -3x + 51x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-760 + -3x + 51x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-760 + -3x + 51x2 + 2x3 = 0

Solving
-760 + -3x + 51x2 + 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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