(8+y)(5y-2)=0

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Solution for (8+y)(5y-2)=0 equation: 


Simplifying
(8 + y)(5y + -2) = 0

Reorder the terms:
(8 + y)(-2 + 5y) = 0

Multiply (8 + y) * (-2 + 5y)
(8(-2 + 5y) + y(-2 + 5y)) = 0
((-2 * 8 + 5y * 8) + y(-2 + 5y)) = 0
((-16 + 40y) + y(-2 + 5y)) = 0
(-16 + 40y + (-2 * y + 5y * y)) = 0
(-16 + 40y + (-2y + 5y2)) = 0

Combine like terms: 40y + -2y = 38y
(-16 + 38y + 5y2) = 0

Solving
-16 + 38y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(2 + -5y) = 0


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

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = -8

Simplifying
y = -8

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

Simplifying
2 + -5y = 0

Solving
2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {-8, 0.4}

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