-2x(3x+11)(2x-5)=0

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Solution for -2x(3x+11)(2x-5)=0 equation: 


Simplifying
-2x(3x + 11)(2x + -5) = 0

Reorder the terms:
-2x(11 + 3x)(2x + -5) = 0

Reorder the terms:
-2x(11 + 3x)(-5 + 2x) = 0

Multiply (11 + 3x) * (-5 + 2x)
-2x(11(-5 + 2x) + 3x * (-5 + 2x)) = 0
-2x((-5 * 11 + 2x * 11) + 3x * (-5 + 2x)) = 0
-2x((-55 + 22x) + 3x * (-5 + 2x)) = 0
-2x(-55 + 22x + (-5 * 3x + 2x * 3x)) = 0
-2x(-55 + 22x + (-15x + 6x2)) = 0

Combine like terms: 22x + -15x = 7x
-2x(-55 + 7x + 6x2) = 0
(-55 * -2x + 7x * -2x + 6x2 * -2x) = 0
(110x + -14x2 + -12x3) = 0

Solving
110x + -14x2 + -12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(55 + -7x + -6x2) = 0

Factor a trinomial.
2x((5 + -2x)(11 + 3x)) = 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 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 3
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {0, 2.5, -3.666666667}

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