(2x+18)(3x+5)(2x+17)=180

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Solution for (2x+18)(3x+5)(2x+17)=180 equation:


Simplifying
(2x + 18)(3x + 5)(2x + 17) = 180

Reorder the terms:
(18 + 2x)(3x + 5)(2x + 17) = 180

Reorder the terms:
(18 + 2x)(5 + 3x)(2x + 17) = 180

Reorder the terms:
(18 + 2x)(5 + 3x)(17 + 2x) = 180

Multiply (18 + 2x) * (5 + 3x)
(18(5 + 3x) + 2x * (5 + 3x))(17 + 2x) = 180
((5 * 18 + 3x * 18) + 2x * (5 + 3x))(17 + 2x) = 180
((90 + 54x) + 2x * (5 + 3x))(17 + 2x) = 180
(90 + 54x + (5 * 2x + 3x * 2x))(17 + 2x) = 180
(90 + 54x + (10x + 6x2))(17 + 2x) = 180

Combine like terms: 54x + 10x = 64x
(90 + 64x + 6x2)(17 + 2x) = 180

Multiply (90 + 64x + 6x2) * (17 + 2x)
(90(17 + 2x) + 64x * (17 + 2x) + 6x2 * (17 + 2x)) = 180
((17 * 90 + 2x * 90) + 64x * (17 + 2x) + 6x2 * (17 + 2x)) = 180
((1530 + 180x) + 64x * (17 + 2x) + 6x2 * (17 + 2x)) = 180
(1530 + 180x + (17 * 64x + 2x * 64x) + 6x2 * (17 + 2x)) = 180
(1530 + 180x + (1088x + 128x2) + 6x2 * (17 + 2x)) = 180
(1530 + 180x + 1088x + 128x2 + (17 * 6x2 + 2x * 6x2)) = 180
(1530 + 180x + 1088x + 128x2 + (102x2 + 12x3)) = 180

Combine like terms: 180x + 1088x = 1268x
(1530 + 1268x + 128x2 + 102x2 + 12x3) = 180

Combine like terms: 128x2 + 102x2 = 230x2
(1530 + 1268x + 230x2 + 12x3) = 180

Solving
1530 + 1268x + 230x2 + 12x3 = 180

Solving for variable 'x'.

Reorder the terms:
1530 + -180 + 1268x + 230x2 + 12x3 = 180 + -180

Combine like terms: 1530 + -180 = 1350
1350 + 1268x + 230x2 + 12x3 = 180 + -180

Combine like terms: 180 + -180 = 0
1350 + 1268x + 230x2 + 12x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(675 + 634x + 115x2 + 6x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(675 + 634x + 115x2 + 6x3)' equal to zero and attempt to solve: Simplifying 675 + 634x + 115x2 + 6x3 = 0 Solving 675 + 634x + 115x2 + 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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