(4y-5)(3y-7)=0

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Solution for (4y-5)(3y-7)=0 equation: 


Simplifying
(4y + -5)(3y + -7) = 0

Reorder the terms:
(-5 + 4y)(3y + -7) = 0

Reorder the terms:
(-5 + 4y)(-7 + 3y) = 0

Multiply (-5 + 4y) * (-7 + 3y)
(-5(-7 + 3y) + 4y * (-7 + 3y)) = 0
((-7 * -5 + 3y * -5) + 4y * (-7 + 3y)) = 0
((35 + -15y) + 4y * (-7 + 3y)) = 0
(35 + -15y + (-7 * 4y + 3y * 4y)) = 0
(35 + -15y + (-28y + 12y2)) = 0

Combine like terms: -15y + -28y = -43y
(35 + -43y + 12y2) = 0

Solving
35 + -43y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -4y)(7 + -3y) = 0


Subproblem 1
Set the factor '(5 + -4y)' equal to zero and attempt to solve:

Simplifying
5 + -4y = 0

Solving
5 + -4y = 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 + -4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4y = 0 + -5
-4y = 0 + -5

Combine like terms: 0 + -5 = -5
-4y = -5

Divide each side by '-4'.
y = 1.25

Simplifying
y = 1.25

Subproblem 2
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
Solution
y = {1.25, 2.333333333}

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