(3x+18)(7x-58)(2x-8)=180

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Solution for (3x+18)(7x-58)(2x-8)=180 equation: 


Simplifying
(3x + 18)(7x + -58)(2x + -8) = 180

Reorder the terms:
(18 + 3x)(7x + -58)(2x + -8) = 180

Reorder the terms:
(18 + 3x)(-58 + 7x)(2x + -8) = 180

Reorder the terms:
(18 + 3x)(-58 + 7x)(-8 + 2x) = 180

Multiply (18 + 3x) * (-58 + 7x)
(18(-58 + 7x) + 3x * (-58 + 7x))(-8 + 2x) = 180
((-58 * 18 + 7x * 18) + 3x * (-58 + 7x))(-8 + 2x) = 180
((-1044 + 126x) + 3x * (-58 + 7x))(-8 + 2x) = 180
(-1044 + 126x + (-58 * 3x + 7x * 3x))(-8 + 2x) = 180
(-1044 + 126x + (-174x + 21x2))(-8 + 2x) = 180

Combine like terms: 126x + -174x = -48x
(-1044 + -48x + 21x2)(-8 + 2x) = 180

Multiply (-1044 + -48x + 21x2) * (-8 + 2x)
(-1044(-8 + 2x) + -48x * (-8 + 2x) + 21x2 * (-8 + 2x)) = 180
((-8 * -1044 + 2x * -1044) + -48x * (-8 + 2x) + 21x2 * (-8 + 2x)) = 180
((8352 + -2088x) + -48x * (-8 + 2x) + 21x2 * (-8 + 2x)) = 180
(8352 + -2088x + (-8 * -48x + 2x * -48x) + 21x2 * (-8 + 2x)) = 180
(8352 + -2088x + (384x + -96x2) + 21x2 * (-8 + 2x)) = 180
(8352 + -2088x + 384x + -96x2 + (-8 * 21x2 + 2x * 21x2)) = 180
(8352 + -2088x + 384x + -96x2 + (-168x2 + 42x3)) = 180

Combine like terms: -2088x + 384x = -1704x
(8352 + -1704x + -96x2 + -168x2 + 42x3) = 180

Combine like terms: -96x2 + -168x2 = -264x2
(8352 + -1704x + -264x2 + 42x3) = 180

Solving
8352 + -1704x + -264x2 + 42x3 = 180

Solving for variable 'x'.

Reorder the terms:
8352 + -180 + -1704x + -264x2 + 42x3 = 180 + -180

Combine like terms: 8352 + -180 = 8172
8172 + -1704x + -264x2 + 42x3 = 180 + -180

Combine like terms: 180 + -180 = 0
8172 + -1704x + -264x2 + 42x3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(1362 + -284x + -44x2 + 7x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(1362 + -284x + -44x2 + 7x3)' equal to zero and attempt to solve:

Simplifying
1362 + -284x + -44x2 + 7x3 = 0

Solving
1362 + -284x + -44x2 + 7x3 = 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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