(3y+7)(2y-9)=

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Solution for (3y+7)(2y-9)= equation: 


Simplifying
(3y + 7)(2y + -9) = 0

Reorder the terms:
(7 + 3y)(2y + -9) = 0

Reorder the terms:
(7 + 3y)(-9 + 2y) = 0

Multiply (7 + 3y) * (-9 + 2y)
(7(-9 + 2y) + 3y * (-9 + 2y)) = 0
((-9 * 7 + 2y * 7) + 3y * (-9 + 2y)) = 0
((-63 + 14y) + 3y * (-9 + 2y)) = 0
(-63 + 14y + (-9 * 3y + 2y * 3y)) = 0
(-63 + 14y + (-27y + 6y2)) = 0

Combine like terms: 14y + -27y = -13y
(-63 + -13y + 6y2) = 0

Solving
-63 + -13y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -3y)(9 + -2y) = 0


Subproblem 1
Set the factor '(-7 + -3y)' equal to zero and attempt to solve:

Simplifying
-7 + -3y = 0

Solving
-7 + -3y = 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 + -3y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3y = 0 + 7
-3y = 0 + 7

Combine like terms: 0 + 7 = 7
-3y = 7

Divide each side by '-3'.
y = -2.333333333

Simplifying
y = -2.333333333

Subproblem 2
Set the factor '(9 + -2y)' equal to zero and attempt to solve:

Simplifying
9 + -2y = 0

Solving
9 + -2y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2y = 0 + -9
-2y = 0 + -9

Combine like terms: 0 + -9 = -9
-2y = -9

Divide each side by '-2'.
y = 4.5

Simplifying
y = 4.5
Solution
y = {-2.333333333, 4.5}

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