(2x+11)(3x+12)(4x-13)=0

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Solution for (2x+11)(3x+12)(4x-13)=0 equation: 


Simplifying
(2x + 11)(3x + 12)(4x + -13) = 0

Reorder the terms:
(11 + 2x)(3x + 12)(4x + -13) = 0

Reorder the terms:
(11 + 2x)(12 + 3x)(4x + -13) = 0

Reorder the terms:
(11 + 2x)(12 + 3x)(-13 + 4x) = 0

Multiply (11 + 2x) * (12 + 3x)
(11(12 + 3x) + 2x * (12 + 3x))(-13 + 4x) = 0
((12 * 11 + 3x * 11) + 2x * (12 + 3x))(-13 + 4x) = 0
((132 + 33x) + 2x * (12 + 3x))(-13 + 4x) = 0
(132 + 33x + (12 * 2x + 3x * 2x))(-13 + 4x) = 0
(132 + 33x + (24x + 6x2))(-13 + 4x) = 0

Combine like terms: 33x + 24x = 57x
(132 + 57x + 6x2)(-13 + 4x) = 0

Multiply (132 + 57x + 6x2) * (-13 + 4x)
(132(-13 + 4x) + 57x * (-13 + 4x) + 6x2 * (-13 + 4x)) = 0
((-13 * 132 + 4x * 132) + 57x * (-13 + 4x) + 6x2 * (-13 + 4x)) = 0
((-1716 + 528x) + 57x * (-13 + 4x) + 6x2 * (-13 + 4x)) = 0
(-1716 + 528x + (-13 * 57x + 4x * 57x) + 6x2 * (-13 + 4x)) = 0
(-1716 + 528x + (-741x + 228x2) + 6x2 * (-13 + 4x)) = 0
(-1716 + 528x + -741x + 228x2 + (-13 * 6x2 + 4x * 6x2)) = 0
(-1716 + 528x + -741x + 228x2 + (-78x2 + 24x3)) = 0

Combine like terms: 528x + -741x = -213x
(-1716 + -213x + 228x2 + -78x2 + 24x3) = 0

Combine like terms: 228x2 + -78x2 = 150x2
(-1716 + -213x + 150x2 + 24x3) = 0

Solving
-1716 + -213x + 150x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-572 + -71x + 50x2 + 8x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-572 + -71x + 50x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
-572 + -71x + 50x2 + 8x3 = 0

Solving
-572 + -71x + 50x2 + 8x3 = 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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