-2x(3x+5)(2x+3)=

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


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

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

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

Multiply (5 + 3x) * (3 + 2x)
-2x(5(3 + 2x) + 3x * (3 + 2x)) = 0
-2x((3 * 5 + 2x * 5) + 3x * (3 + 2x)) = 0
-2x((15 + 10x) + 3x * (3 + 2x)) = 0
-2x(15 + 10x + (3 * 3x + 2x * 3x)) = 0
-2x(15 + 10x + (9x + 6x2)) = 0

Combine like terms: 10x + 9x = 19x
-2x(15 + 19x + 6x2) = 0
(15 * -2x + 19x * -2x + 6x2 * -2x) = 0
(-30x + -38x2 + -12x3) = 0

Solving
-30x + -38x2 + -12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(15 + 19x + 6x2) = 0

Factor a trinomial.
-2x((5 + 3x)(3 + 2x)) = 0

Ignore the factor -2.

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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.666666667, -1.5}

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