(3x+4)(7x-5)(-8x-2)=180

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Solution for (3x+4)(7x-5)(-8x-2)=180 equation: 


Simplifying
(3x + 4)(7x + -5)(-8x + -2) = 180

Reorder the terms:
(4 + 3x)(7x + -5)(-8x + -2) = 180

Reorder the terms:
(4 + 3x)(-5 + 7x)(-8x + -2) = 180

Reorder the terms:
(4 + 3x)(-5 + 7x)(-2 + -8x) = 180

Multiply (4 + 3x) * (-5 + 7x)
(4(-5 + 7x) + 3x * (-5 + 7x))(-2 + -8x) = 180
((-5 * 4 + 7x * 4) + 3x * (-5 + 7x))(-2 + -8x) = 180
((-20 + 28x) + 3x * (-5 + 7x))(-2 + -8x) = 180
(-20 + 28x + (-5 * 3x + 7x * 3x))(-2 + -8x) = 180
(-20 + 28x + (-15x + 21x2))(-2 + -8x) = 180

Combine like terms: 28x + -15x = 13x
(-20 + 13x + 21x2)(-2 + -8x) = 180

Multiply (-20 + 13x + 21x2) * (-2 + -8x)
(-20(-2 + -8x) + 13x * (-2 + -8x) + 21x2 * (-2 + -8x)) = 180
((-2 * -20 + -8x * -20) + 13x * (-2 + -8x) + 21x2 * (-2 + -8x)) = 180
((40 + 160x) + 13x * (-2 + -8x) + 21x2 * (-2 + -8x)) = 180
(40 + 160x + (-2 * 13x + -8x * 13x) + 21x2 * (-2 + -8x)) = 180
(40 + 160x + (-26x + -104x2) + 21x2 * (-2 + -8x)) = 180
(40 + 160x + -26x + -104x2 + (-2 * 21x2 + -8x * 21x2)) = 180
(40 + 160x + -26x + -104x2 + (-42x2 + -168x3)) = 180

Combine like terms: 160x + -26x = 134x
(40 + 134x + -104x2 + -42x2 + -168x3) = 180

Combine like terms: -104x2 + -42x2 = -146x2
(40 + 134x + -146x2 + -168x3) = 180

Solving
40 + 134x + -146x2 + -168x3 = 180

Solving for variable 'x'.

Reorder the terms:
40 + -180 + 134x + -146x2 + -168x3 = 180 + -180

Combine like terms: 40 + -180 = -140
-140 + 134x + -146x2 + -168x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-140 + 134x + -146x2 + -168x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-70 + 67x + -73x2 + -84x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-70 + 67x + -73x2 + -84x3)' equal to zero and attempt to solve:

Simplifying
-70 + 67x + -73x2 + -84x3 = 0

Solving
-70 + 67x + -73x2 + -84x3 = 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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