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

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Solution for (6y-5)(4y+7)=0 equation: 


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

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

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

Multiply (-5 + 6y) * (7 + 4y)
(-5(7 + 4y) + 6y * (7 + 4y)) = 0
((7 * -5 + 4y * -5) + 6y * (7 + 4y)) = 0
((-35 + -20y) + 6y * (7 + 4y)) = 0
(-35 + -20y + (7 * 6y + 4y * 6y)) = 0
(-35 + -20y + (42y + 24y2)) = 0

Combine like terms: -20y + 42y = 22y
(-35 + 22y + 24y2) = 0

Solving
-35 + 22y + 24y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(-7 + -4y)' equal to zero and attempt to solve:

Simplifying
-7 + -4y = 0

Solving
-7 + -4y = 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 + -4y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4y = 0 + 7
-4y = 0 + 7

Combine like terms: 0 + 7 = 7
-4y = 7

Divide each side by '-4'.
y = -1.75

Simplifying
y = -1.75

Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve:

Simplifying
5 + -6y = 0

Solving
5 + -6y = 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 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5

Combine like terms: 0 + -5 = -5
-6y = -5

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333
Solution
y = {-1.75, 0.8333333333}

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