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

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


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

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

Multiply (5 + -1y) * (9 + 4y)
(5(9 + 4y) + -1y * (9 + 4y)) = 0
((9 * 5 + 4y * 5) + -1y * (9 + 4y)) = 0
((45 + 20y) + -1y * (9 + 4y)) = 0
(45 + 20y + (9 * -1y + 4y * -1y)) = 0
(45 + 20y + (-9y + -4y2)) = 0

Combine like terms: 20y + -9y = 11y
(45 + 11y + -4y2) = 0

Solving
45 + 11y + -4y2 = 0

Solving for variable 'y'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(9 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 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 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25

Solution

y = {5, -2.25}

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