(x+2)(3x+10)(2x+30)=360

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Solution for (x+2)(3x+10)(2x+30)=360 equation: 


Simplifying
(x + 2)(3x + 10)(2x + 30) = 360

Reorder the terms:
(2 + x)(3x + 10)(2x + 30) = 360

Reorder the terms:
(2 + x)(10 + 3x)(2x + 30) = 360

Reorder the terms:
(2 + x)(10 + 3x)(30 + 2x) = 360

Multiply (2 + x) * (10 + 3x)
(2(10 + 3x) + x(10 + 3x))(30 + 2x) = 360
((10 * 2 + 3x * 2) + x(10 + 3x))(30 + 2x) = 360
((20 + 6x) + x(10 + 3x))(30 + 2x) = 360
(20 + 6x + (10 * x + 3x * x))(30 + 2x) = 360
(20 + 6x + (10x + 3x2))(30 + 2x) = 360

Combine like terms: 6x + 10x = 16x
(20 + 16x + 3x2)(30 + 2x) = 360

Multiply (20 + 16x + 3x2) * (30 + 2x)
(20(30 + 2x) + 16x * (30 + 2x) + 3x2 * (30 + 2x)) = 360
((30 * 20 + 2x * 20) + 16x * (30 + 2x) + 3x2 * (30 + 2x)) = 360
((600 + 40x) + 16x * (30 + 2x) + 3x2 * (30 + 2x)) = 360
(600 + 40x + (30 * 16x + 2x * 16x) + 3x2 * (30 + 2x)) = 360
(600 + 40x + (480x + 32x2) + 3x2 * (30 + 2x)) = 360
(600 + 40x + 480x + 32x2 + (30 * 3x2 + 2x * 3x2)) = 360
(600 + 40x + 480x + 32x2 + (90x2 + 6x3)) = 360

Combine like terms: 40x + 480x = 520x
(600 + 520x + 32x2 + 90x2 + 6x3) = 360

Combine like terms: 32x2 + 90x2 = 122x2
(600 + 520x + 122x2 + 6x3) = 360

Solving
600 + 520x + 122x2 + 6x3 = 360

Solving for variable 'x'.

Reorder the terms:
600 + -360 + 520x + 122x2 + 6x3 = 360 + -360

Combine like terms: 600 + -360 = 240
240 + 520x + 122x2 + 6x3 = 360 + -360

Combine like terms: 360 + -360 = 0
240 + 520x + 122x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(120 + 260x + 61x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(120 + 260x + 61x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
120 + 260x + 61x2 + 3x3 = 0

Solving
120 + 260x + 61x2 + 3x3 = 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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