(3y+2)(6y-7)=

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Solution for (3y+2)(6y-7)= equation: 


Simplifying
(3y + 2)(6y + -7) = 0

Reorder the terms:
(2 + 3y)(6y + -7) = 0

Reorder the terms:
(2 + 3y)(-7 + 6y) = 0

Multiply (2 + 3y) * (-7 + 6y)
(2(-7 + 6y) + 3y * (-7 + 6y)) = 0
((-7 * 2 + 6y * 2) + 3y * (-7 + 6y)) = 0
((-14 + 12y) + 3y * (-7 + 6y)) = 0
(-14 + 12y + (-7 * 3y + 6y * 3y)) = 0
(-14 + 12y + (-21y + 18y2)) = 0

Combine like terms: 12y + -21y = -9y
(-14 + -9y + 18y2) = 0

Solving
-14 + -9y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -3y)(7 + -6y) = 0


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 '(7 + -6y)' equal to zero and attempt to solve:

Simplifying
7 + -6y = 0

Solving
7 + -6y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6y = 0 + -7
-6y = 0 + -7

Combine like terms: 0 + -7 = -7
-6y = -7

Divide each side by '-6'.
y = 1.166666667

Simplifying
y = 1.166666667
Solution
y = {-0.6666666667, 1.166666667}

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