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

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Solution for (9-y)(5y+4)=0 equation:


Simplifying
(9 + -1y)(5y + 4) = 0

Reorder the terms:
(9 + -1y)(4 + 5y) = 0

Multiply (9 + -1y) * (4 + 5y)
(9(4 + 5y) + -1y * (4 + 5y)) = 0
((4 * 9 + 5y * 9) + -1y * (4 + 5y)) = 0
((36 + 45y) + -1y * (4 + 5y)) = 0
(36 + 45y + (4 * -1y + 5y * -1y)) = 0
(36 + 45y + (-4y + -5y2)) = 0

Combine like terms: 45y + -4y = 41y
(36 + 41y + -5y2) = 0

Solving
36 + 41y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -1y)(4 + 5y) = 0

Subproblem 1

Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9

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 = {9, -0.8}

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