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

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


Simplifying
x(x + 3)(6 + -1x)(2x + 5) = 0

Reorder the terms:
x(3 + x)(6 + -1x)(2x + 5) = 0

Reorder the terms:
x(3 + x)(6 + -1x)(5 + 2x) = 0

Multiply (3 + x) * (6 + -1x)
x(3(6 + -1x) + x(6 + -1x))(5 + 2x) = 0
x((6 * 3 + -1x * 3) + x(6 + -1x))(5 + 2x) = 0
x((18 + -3x) + x(6 + -1x))(5 + 2x) = 0
x(18 + -3x + (6 * x + -1x * x))(5 + 2x) = 0
x(18 + -3x + (6x + -1x2))(5 + 2x) = 0

Combine like terms: -3x + 6x = 3x
x(18 + 3x + -1x2)(5 + 2x) = 0

Multiply (18 + 3x + -1x2) * (5 + 2x)
x(18(5 + 2x) + 3x * (5 + 2x) + -1x2 * (5 + 2x)) = 0
x((5 * 18 + 2x * 18) + 3x * (5 + 2x) + -1x2 * (5 + 2x)) = 0
x((90 + 36x) + 3x * (5 + 2x) + -1x2 * (5 + 2x)) = 0
x(90 + 36x + (5 * 3x + 2x * 3x) + -1x2 * (5 + 2x)) = 0
x(90 + 36x + (15x + 6x2) + -1x2 * (5 + 2x)) = 0
x(90 + 36x + 15x + 6x2 + (5 * -1x2 + 2x * -1x2)) = 0
x(90 + 36x + 15x + 6x2 + (-5x2 + -2x3)) = 0

Combine like terms: 36x + 15x = 51x
x(90 + 51x + 6x2 + -5x2 + -2x3) = 0

Combine like terms: 6x2 + -5x2 = 1x2
x(90 + 51x + 1x2 + -2x3) = 0
(90 * x + 51x * x + 1x2 * x + -2x3 * x) = 0
(90x + 51x2 + 1x3 + -2x4) = 0

Solving
90x + 51x2 + 1x3 + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(90 + 51x + x2 + -2x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(90 + 51x + x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
90 + 51x + x2 + -2x3 = 0

Solving
90 + 51x + x2 + -2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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