(x+5)*(3*x-1)*(4*x-2)=66

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Solution for (x+5)*(3*x-1)*(4*x-2)=66 equation: 


Simplifying
(x + 5)(3x + -1)(4x + -2) = 66

Reorder the terms:
(5 + x)(3x + -1)(4x + -2) = 66

Reorder the terms:
(5 + x)(-1 + 3x)(4x + -2) = 66

Reorder the terms:
(5 + x)(-1 + 3x)(-2 + 4x) = 66

Multiply (5 + x) * (-1 + 3x)
(5(-1 + 3x) + x(-1 + 3x))(-2 + 4x) = 66
((-1 * 5 + 3x * 5) + x(-1 + 3x))(-2 + 4x) = 66
((-5 + 15x) + x(-1 + 3x))(-2 + 4x) = 66
(-5 + 15x + (-1 * x + 3x * x))(-2 + 4x) = 66
(-5 + 15x + (-1x + 3x2))(-2 + 4x) = 66

Combine like terms: 15x + -1x = 14x
(-5 + 14x + 3x2)(-2 + 4x) = 66

Multiply (-5 + 14x + 3x2) * (-2 + 4x)
(-5(-2 + 4x) + 14x * (-2 + 4x) + 3x2 * (-2 + 4x)) = 66
((-2 * -5 + 4x * -5) + 14x * (-2 + 4x) + 3x2 * (-2 + 4x)) = 66
((10 + -20x) + 14x * (-2 + 4x) + 3x2 * (-2 + 4x)) = 66
(10 + -20x + (-2 * 14x + 4x * 14x) + 3x2 * (-2 + 4x)) = 66
(10 + -20x + (-28x + 56x2) + 3x2 * (-2 + 4x)) = 66
(10 + -20x + -28x + 56x2 + (-2 * 3x2 + 4x * 3x2)) = 66
(10 + -20x + -28x + 56x2 + (-6x2 + 12x3)) = 66

Combine like terms: -20x + -28x = -48x
(10 + -48x + 56x2 + -6x2 + 12x3) = 66

Combine like terms: 56x2 + -6x2 = 50x2
(10 + -48x + 50x2 + 12x3) = 66

Solving
10 + -48x + 50x2 + 12x3 = 66

Solving for variable 'x'.

Reorder the terms:
10 + -66 + -48x + 50x2 + 12x3 = 66 + -66

Combine like terms: 10 + -66 = -56
-56 + -48x + 50x2 + 12x3 = 66 + -66

Combine like terms: 66 + -66 = 0
-56 + -48x + 50x2 + 12x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + -24x + 25x2 + 6x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-28 + -24x + 25x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-28 + -24x + 25x2 + 6x3 = 0

Solving
-28 + -24x + 25x2 + 6x3 = 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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