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

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


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

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

Multiply (-9 + 5y) * (4 + -1y)
(-9(4 + -1y) + 5y * (4 + -1y)) = 0
((4 * -9 + -1y * -9) + 5y * (4 + -1y)) = 0
((-36 + 9y) + 5y * (4 + -1y)) = 0
(-36 + 9y + (4 * 5y + -1y * 5y)) = 0
(-36 + 9y + (20y + -5y2)) = 0

Combine like terms: 9y + 20y = 29y
(-36 + 29y + -5y2) = 0

Solving
-36 + 29y + -5y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4

Subproblem 2

Set the factor '(9 + -5y)' equal to zero and attempt to solve: Simplifying 9 + -5y = 0 Solving 9 + -5y = 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 + -5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = 0 + -9 -5y = 0 + -9 Combine like terms: 0 + -9 = -9 -5y = -9 Divide each side by '-5'. y = 1.8 Simplifying y = 1.8

Solution

y = {4, 1.8}

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