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

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


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

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

Multiply (5 + y) * (4 + 5y)
(5(4 + 5y) + y(4 + 5y)) = 0
((4 * 5 + 5y * 5) + y(4 + 5y)) = 0
((20 + 25y) + y(4 + 5y)) = 0
(20 + 25y + (4 * y + 5y * y)) = 0
(20 + 25y + (4y + 5y2)) = 0

Combine like terms: 25y + 4y = 29y
(20 + 29y + 5y2) = 0

Solving
20 + 29y + 5y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5

Subproblem 2

Set the factor '(4 + 5y)' equal to zero and attempt to solve: Simplifying 4 + 5y = 0 Solving 4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 0 + -4 5y = 0 + -4 Combine like terms: 0 + -4 = -4 5y = -4 Divide each side by '5'. y = -0.8 Simplifying y = -0.8

Solution

y = {-5, -0.8}

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