(3+x)(6+2x)(4-5x)=0

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Solution for (3+x)(6+2x)(4-5x)=0 equation: 


Simplifying
(3 + x)(6 + 2x)(4 + -5x) = 0

Multiply (3 + x) * (6 + 2x)
(3(6 + 2x) + x(6 + 2x))(4 + -5x) = 0
((6 * 3 + 2x * 3) + x(6 + 2x))(4 + -5x) = 0
((18 + 6x) + x(6 + 2x))(4 + -5x) = 0
(18 + 6x + (6 * x + 2x * x))(4 + -5x) = 0
(18 + 6x + (6x + 2x2))(4 + -5x) = 0

Combine like terms: 6x + 6x = 12x
(18 + 12x + 2x2)(4 + -5x) = 0

Multiply (18 + 12x + 2x2) * (4 + -5x)
(18(4 + -5x) + 12x * (4 + -5x) + 2x2 * (4 + -5x)) = 0
((4 * 18 + -5x * 18) + 12x * (4 + -5x) + 2x2 * (4 + -5x)) = 0
((72 + -90x) + 12x * (4 + -5x) + 2x2 * (4 + -5x)) = 0
(72 + -90x + (4 * 12x + -5x * 12x) + 2x2 * (4 + -5x)) = 0
(72 + -90x + (48x + -60x2) + 2x2 * (4 + -5x)) = 0
(72 + -90x + 48x + -60x2 + (4 * 2x2 + -5x * 2x2)) = 0
(72 + -90x + 48x + -60x2 + (8x2 + -10x3)) = 0

Combine like terms: -90x + 48x = -42x
(72 + -42x + -60x2 + 8x2 + -10x3) = 0

Combine like terms: -60x2 + 8x2 = -52x2
(72 + -42x + -52x2 + -10x3) = 0

Solving
72 + -42x + -52x2 + -10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -21x + -26x2 + -5x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(36 + -21x + -26x2 + -5x3)' equal to zero and attempt to solve:

Simplifying
36 + -21x + -26x2 + -5x3 = 0

Solving
36 + -21x + -26x2 + -5x3 = 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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