(-8y+5)(4y-5)=0

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Solution for (-8y+5)(4y-5)=0 equation: 


Simplifying
(-8y + 5)(4y + -5) = 0

Reorder the terms:
(5 + -8y)(4y + -5) = 0

Reorder the terms:
(5 + -8y)(-5 + 4y) = 0

Multiply (5 + -8y) * (-5 + 4y)
(5(-5 + 4y) + -8y * (-5 + 4y)) = 0
((-5 * 5 + 4y * 5) + -8y * (-5 + 4y)) = 0
((-25 + 20y) + -8y * (-5 + 4y)) = 0
(-25 + 20y + (-5 * -8y + 4y * -8y)) = 0
(-25 + 20y + (40y + -32y2)) = 0

Combine like terms: 20y + 40y = 60y
(-25 + 60y + -32y2) = 0

Solving
-25 + 60y + -32y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + 4y)(5 + -8y) = 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 '(5 + -8y)' equal to zero and attempt to solve:

Simplifying
5 + -8y = 0

Solving
5 + -8y = 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 + -8y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8y = 0 + -5
-8y = 0 + -5

Combine like terms: 0 + -5 = -5
-8y = -5

Divide each side by '-8'.
y = 0.625

Simplifying
y = 0.625
Solution
y = {1.25, 0.625}

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