(5y-4)(6y-7)=

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Solution for (5y-4)(6y-7)= equation: 


Simplifying
(5y + -4)(6y + -7) = 0

Reorder the terms:
(-4 + 5y)(6y + -7) = 0

Reorder the terms:
(-4 + 5y)(-7 + 6y) = 0

Multiply (-4 + 5y) * (-7 + 6y)
(-4(-7 + 6y) + 5y * (-7 + 6y)) = 0
((-7 * -4 + 6y * -4) + 5y * (-7 + 6y)) = 0
((28 + -24y) + 5y * (-7 + 6y)) = 0
(28 + -24y + (-7 * 5y + 6y * 5y)) = 0
(28 + -24y + (-35y + 30y2)) = 0

Combine like terms: -24y + -35y = -59y
(28 + -59y + 30y2) = 0

Solving
28 + -59y + 30y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -5y)(7 + -6y) = 0


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

Simplifying
4 + -5y = 0

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

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

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

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8

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 = {0.8, 1.166666667}

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