(10x-30)(2x+14)(3x+6)=90

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Solution for (10x-30)(2x+14)(3x+6)=90 equation: 


Simplifying
(10x + -30)(2x + 14)(3x + 6) = 90

Reorder the terms:
(-30 + 10x)(2x + 14)(3x + 6) = 90

Reorder the terms:
(-30 + 10x)(14 + 2x)(3x + 6) = 90

Reorder the terms:
(-30 + 10x)(14 + 2x)(6 + 3x) = 90

Multiply (-30 + 10x) * (14 + 2x)
(-30(14 + 2x) + 10x * (14 + 2x))(6 + 3x) = 90
((14 * -30 + 2x * -30) + 10x * (14 + 2x))(6 + 3x) = 90
((-420 + -60x) + 10x * (14 + 2x))(6 + 3x) = 90
(-420 + -60x + (14 * 10x + 2x * 10x))(6 + 3x) = 90
(-420 + -60x + (140x + 20x2))(6 + 3x) = 90

Combine like terms: -60x + 140x = 80x
(-420 + 80x + 20x2)(6 + 3x) = 90

Multiply (-420 + 80x + 20x2) * (6 + 3x)
(-420(6 + 3x) + 80x * (6 + 3x) + 20x2 * (6 + 3x)) = 90
((6 * -420 + 3x * -420) + 80x * (6 + 3x) + 20x2 * (6 + 3x)) = 90
((-2520 + -1260x) + 80x * (6 + 3x) + 20x2 * (6 + 3x)) = 90
(-2520 + -1260x + (6 * 80x + 3x * 80x) + 20x2 * (6 + 3x)) = 90
(-2520 + -1260x + (480x + 240x2) + 20x2 * (6 + 3x)) = 90
(-2520 + -1260x + 480x + 240x2 + (6 * 20x2 + 3x * 20x2)) = 90
(-2520 + -1260x + 480x + 240x2 + (120x2 + 60x3)) = 90

Combine like terms: -1260x + 480x = -780x
(-2520 + -780x + 240x2 + 120x2 + 60x3) = 90

Combine like terms: 240x2 + 120x2 = 360x2
(-2520 + -780x + 360x2 + 60x3) = 90

Solving
-2520 + -780x + 360x2 + 60x3 = 90

Solving for variable 'x'.

Reorder the terms:
-2520 + -90 + -780x + 360x2 + 60x3 = 90 + -90

Combine like terms: -2520 + -90 = -2610
-2610 + -780x + 360x2 + 60x3 = 90 + -90

Combine like terms: 90 + -90 = 0
-2610 + -780x + 360x2 + 60x3 = 0

Factor out the Greatest Common Factor (GCF), '30'.
30(-87 + -26x + 12x2 + 2x3) = 0

Ignore the factor 30.

Subproblem 1
Set the factor '(-87 + -26x + 12x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-87 + -26x + 12x2 + 2x3 = 0

Solving
-87 + -26x + 12x2 + 2x3 = 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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