(3y-5)(6y-4)=

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Solution for (3y-5)(6y-4)= equation: 


Simplifying
(3y + -5)(6y + -4) = 0

Reorder the terms:
(-5 + 3y)(6y + -4) = 0

Reorder the terms:
(-5 + 3y)(-4 + 6y) = 0

Multiply (-5 + 3y) * (-4 + 6y)
(-5(-4 + 6y) + 3y * (-4 + 6y)) = 0
((-4 * -5 + 6y * -5) + 3y * (-4 + 6y)) = 0
((20 + -30y) + 3y * (-4 + 6y)) = 0
(20 + -30y + (-4 * 3y + 6y * 3y)) = 0
(20 + -30y + (-12y + 18y2)) = 0

Combine like terms: -30y + -12y = -42y
(20 + -42y + 18y2) = 0

Solving
20 + -42y + 18y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -21y + 9y2) = 0

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

Ignore the factor 2.

Subproblem 1
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 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 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 + -3y = 0 + -5

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

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

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

Simplifying
y = 1.666666667
Solution
y = {0.6666666667, 1.666666667}

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