(x+50)(3x-20)(4x-12)x=360

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Solution for (x+50)(3x-20)(4x-12)x=360 equation: 


Simplifying
(x + 50)(3x + -20)(4x + -12) * x = 360

Reorder the terms:
(50 + x)(3x + -20)(4x + -12) * x = 360

Reorder the terms:
(50 + x)(-20 + 3x)(4x + -12) * x = 360

Reorder the terms:
(50 + x)(-20 + 3x)(-12 + 4x) * x = 360

Reorder the terms for easier multiplication:
x(50 + x)(-20 + 3x)(-12 + 4x) = 360

Multiply (50 + x) * (-20 + 3x)
x(50(-20 + 3x) + x(-20 + 3x))(-12 + 4x) = 360
x((-20 * 50 + 3x * 50) + x(-20 + 3x))(-12 + 4x) = 360
x((-1000 + 150x) + x(-20 + 3x))(-12 + 4x) = 360
x(-1000 + 150x + (-20 * x + 3x * x))(-12 + 4x) = 360
x(-1000 + 150x + (-20x + 3x2))(-12 + 4x) = 360

Combine like terms: 150x + -20x = 130x
x(-1000 + 130x + 3x2)(-12 + 4x) = 360

Multiply (-1000 + 130x + 3x2) * (-12 + 4x)
x(-1000(-12 + 4x) + 130x * (-12 + 4x) + 3x2 * (-12 + 4x)) = 360
x((-12 * -1000 + 4x * -1000) + 130x * (-12 + 4x) + 3x2 * (-12 + 4x)) = 360
x((12000 + -4000x) + 130x * (-12 + 4x) + 3x2 * (-12 + 4x)) = 360
x(12000 + -4000x + (-12 * 130x + 4x * 130x) + 3x2 * (-12 + 4x)) = 360
x(12000 + -4000x + (-1560x + 520x2) + 3x2 * (-12 + 4x)) = 360
x(12000 + -4000x + -1560x + 520x2 + (-12 * 3x2 + 4x * 3x2)) = 360
x(12000 + -4000x + -1560x + 520x2 + (-36x2 + 12x3)) = 360

Combine like terms: -4000x + -1560x = -5560x
x(12000 + -5560x + 520x2 + -36x2 + 12x3) = 360

Combine like terms: 520x2 + -36x2 = 484x2
x(12000 + -5560x + 484x2 + 12x3) = 360
(12000 * x + -5560x * x + 484x2 * x + 12x3 * x) = 360
(12000x + -5560x2 + 484x3 + 12x4) = 360

Solving
12000x + -5560x2 + 484x3 + 12x4 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 12000x + -5560x2 + 484x3 + 12x4 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 12000x + -5560x2 + 484x3 + 12x4 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-90 + 3000x + -1390x2 + 121x3 + 3x4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-90 + 3000x + -1390x2 + 121x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
-90 + 3000x + -1390x2 + 121x3 + 3x4 = 0

Solving
-90 + 3000x + -1390x2 + 121x3 + 3x4 = 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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