(8-y)(5y+3)=0

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Solution for (8-y)(5y+3)=0 equation:


Simplifying
(8 + -1y)(5y + 3) = 0

Reorder the terms:
(8 + -1y)(3 + 5y) = 0

Multiply (8 + -1y) * (3 + 5y)
(8(3 + 5y) + -1y * (3 + 5y)) = 0
((3 * 8 + 5y * 8) + -1y * (3 + 5y)) = 0
((24 + 40y) + -1y * (3 + 5y)) = 0
(24 + 40y + (3 * -1y + 5y * -1y)) = 0
(24 + 40y + (-3y + -5y2)) = 0

Combine like terms: 40y + -3y = 37y
(24 + 37y + -5y2) = 0

Solving
24 + 37y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -1y)(3 + 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 '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6

Solution

y = {8, -0.6}

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