(5y-9)(3y-4)=

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Solution for (5y-9)(3y-4)= equation: 


Simplifying
(5y + -9)(3y + -4) = 0

Reorder the terms:
(-9 + 5y)(3y + -4) = 0

Reorder the terms:
(-9 + 5y)(-4 + 3y) = 0

Multiply (-9 + 5y) * (-4 + 3y)
(-9(-4 + 3y) + 5y * (-4 + 3y)) = 0
((-4 * -9 + 3y * -9) + 5y * (-4 + 3y)) = 0
((36 + -27y) + 5y * (-4 + 3y)) = 0
(36 + -27y + (-4 * 5y + 3y * 5y)) = 0
(36 + -27y + (-20y + 15y2)) = 0

Combine like terms: -27y + -20y = -47y
(36 + -47y + 15y2) = 0

Solving
36 + -47y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -3y)(9 + -5y) = 0


Subproblem 1
Set the factor '(4 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333

Subproblem 2
Set the factor '(9 + -5y)' equal to zero and attempt to solve:

Simplifying
9 + -5y = 0

Solving
9 + -5y = 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 + -5y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = 0 + -9
-5y = 0 + -9

Combine like terms: 0 + -9 = -9
-5y = -9

Divide each side by '-5'.
y = 1.8

Simplifying
y = 1.8
Solution
y = {1.333333333, 1.8}

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