2y(6y-5)(3y+2)=

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Solution for 2y(6y-5)(3y+2)= equation: 


Simplifying
2y(6y + -5)(3y + 2) = 0

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

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

Multiply (-5 + 6y) * (2 + 3y)
2y(-5(2 + 3y) + 6y * (2 + 3y)) = 0
2y((2 * -5 + 3y * -5) + 6y * (2 + 3y)) = 0
2y((-10 + -15y) + 6y * (2 + 3y)) = 0
2y(-10 + -15y + (2 * 6y + 3y * 6y)) = 0
2y(-10 + -15y + (12y + 18y2)) = 0

Combine like terms: -15y + 12y = -3y
2y(-10 + -3y + 18y2) = 0
(-10 * 2y + -3y * 2y + 18y2 * 2y) = 0
(-20y + -6y2 + 36y3) = 0

Solving
-20y + -6y2 + 36y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-10 + -3y + 18y2) = 0

Factor a trinomial.
2y((-2 + -3y)(5 + -6y)) = 0

Ignore the factor 2.

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

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

Simplifying
-2 + -3y = 0

Solving
-2 + -3y = 0

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

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

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

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

Divide each side by '-3'.
y = -0.6666666667

Simplifying
y = -0.6666666667

Subproblem 3
Set the factor '(5 + -6y)' equal to zero and attempt to solve:

Simplifying
5 + -6y = 0

Solving
5 + -6y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5

Combine like terms: 0 + -5 = -5
-6y = -5

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333
Solution
y = {0, -0.6666666667, 0.8333333333}

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