(14-2x)(3x-1)(2x+1)=26

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Solution for (14-2x)(3x-1)(2x+1)=26 equation: 


Simplifying
(14 + -2x)(3x + -1)(2x + 1) = 26

Reorder the terms:
(14 + -2x)(-1 + 3x)(2x + 1) = 26

Reorder the terms:
(14 + -2x)(-1 + 3x)(1 + 2x) = 26

Multiply (14 + -2x) * (-1 + 3x)
(14(-1 + 3x) + -2x * (-1 + 3x))(1 + 2x) = 26
((-1 * 14 + 3x * 14) + -2x * (-1 + 3x))(1 + 2x) = 26
((-14 + 42x) + -2x * (-1 + 3x))(1 + 2x) = 26
(-14 + 42x + (-1 * -2x + 3x * -2x))(1 + 2x) = 26
(-14 + 42x + (2x + -6x2))(1 + 2x) = 26

Combine like terms: 42x + 2x = 44x
(-14 + 44x + -6x2)(1 + 2x) = 26

Multiply (-14 + 44x + -6x2) * (1 + 2x)
(-14(1 + 2x) + 44x * (1 + 2x) + -6x2 * (1 + 2x)) = 26
((1 * -14 + 2x * -14) + 44x * (1 + 2x) + -6x2 * (1 + 2x)) = 26
((-14 + -28x) + 44x * (1 + 2x) + -6x2 * (1 + 2x)) = 26
(-14 + -28x + (1 * 44x + 2x * 44x) + -6x2 * (1 + 2x)) = 26
(-14 + -28x + (44x + 88x2) + -6x2 * (1 + 2x)) = 26
(-14 + -28x + 44x + 88x2 + (1 * -6x2 + 2x * -6x2)) = 26
(-14 + -28x + 44x + 88x2 + (-6x2 + -12x3)) = 26

Combine like terms: -28x + 44x = 16x
(-14 + 16x + 88x2 + -6x2 + -12x3) = 26

Combine like terms: 88x2 + -6x2 = 82x2
(-14 + 16x + 82x2 + -12x3) = 26

Solving
-14 + 16x + 82x2 + -12x3 = 26

Solving for variable 'x'.

Reorder the terms:
-14 + -26 + 16x + 82x2 + -12x3 = 26 + -26

Combine like terms: -14 + -26 = -40
-40 + 16x + 82x2 + -12x3 = 26 + -26

Combine like terms: 26 + -26 = 0
-40 + 16x + 82x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 8x + 41x2 + -6x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-20 + 8x + 41x2 + -6x3)' equal to zero and attempt to solve:

Simplifying
-20 + 8x + 41x2 + -6x3 = 0

Solving
-20 + 8x + 41x2 + -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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