5(y-5)(8y-1)=

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Solution for 5(y-5)(8y-1)= equation: 


Simplifying
5(y + -5)(8y + -1) = 0

Reorder the terms:
5(-5 + y)(8y + -1) = 0

Reorder the terms:
5(-5 + y)(-1 + 8y) = 0

Multiply (-5 + y) * (-1 + 8y)
5(-5(-1 + 8y) + y(-1 + 8y)) = 0
5((-1 * -5 + 8y * -5) + y(-1 + 8y)) = 0
5((5 + -40y) + y(-1 + 8y)) = 0
5(5 + -40y + (-1 * y + 8y * y)) = 0
5(5 + -40y + (-1y + 8y2)) = 0

Combine like terms: -40y + -1y = -41y
5(5 + -41y + 8y2) = 0
(5 * 5 + -41y * 5 + 8y2 * 5) = 0
(25 + -205y + 40y2) = 0

Solving
25 + -205y + 40y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -41y + 8y2) = 0

Factor a trinomial.
5((1 + -8y)(5 + -1y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8y = 0 + -1
-8y = 0 + -1

Combine like terms: 0 + -1 = -1
-8y = -1

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125

Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {0.125, 5}

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