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

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


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

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

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

Multiply (1 + 2x) * (14 + -2x)
(1(14 + -2x) + 2x * (14 + -2x))(-1 + 3x) = 26
((14 * 1 + -2x * 1) + 2x * (14 + -2x))(-1 + 3x) = 26
((14 + -2x) + 2x * (14 + -2x))(-1 + 3x) = 26
(14 + -2x + (14 * 2x + -2x * 2x))(-1 + 3x) = 26
(14 + -2x + (28x + -4x2))(-1 + 3x) = 26

Combine like terms: -2x + 28x = 26x
(14 + 26x + -4x2)(-1 + 3x) = 26

Multiply (14 + 26x + -4x2) * (-1 + 3x)
(14(-1 + 3x) + 26x * (-1 + 3x) + -4x2 * (-1 + 3x)) = 26
((-1 * 14 + 3x * 14) + 26x * (-1 + 3x) + -4x2 * (-1 + 3x)) = 26
((-14 + 42x) + 26x * (-1 + 3x) + -4x2 * (-1 + 3x)) = 26
(-14 + 42x + (-1 * 26x + 3x * 26x) + -4x2 * (-1 + 3x)) = 26
(-14 + 42x + (-26x + 78x2) + -4x2 * (-1 + 3x)) = 26
(-14 + 42x + -26x + 78x2 + (-1 * -4x2 + 3x * -4x2)) = 26
(-14 + 42x + -26x + 78x2 + (4x2 + -12x3)) = 26

Combine like terms: 42x + -26x = 16x
(-14 + 16x + 78x2 + 4x2 + -12x3) = 26

Combine like terms: 78x2 + 4x2 = 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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