(2y-9)(y+4)=

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Solution for (2y-9)(y+4)= equation:


Simplifying
(2y + -9)(y + 4) = 0

Reorder the terms:
(-9 + 2y)(y + 4) = 0

Reorder the terms:
(-9 + 2y)(4 + y) = 0

Multiply (-9 + 2y) * (4 + y)
(-9(4 + y) + 2y * (4 + y)) = 0
((4 * -9 + y * -9) + 2y * (4 + y)) = 0
((-36 + -9y) + 2y * (4 + y)) = 0
(-36 + -9y + (4 * 2y + y * 2y)) = 0
(-36 + -9y + (8y + 2y2)) = 0

Combine like terms: -9y + 8y = -1y
(-36 + -1y + 2y2) = 0

Solving
-36 + -1y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(9 + -2y) = 0

Subproblem 1

Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4

Subproblem 2

Set the factor '(9 + -2y)' equal to zero and attempt to solve: Simplifying 9 + -2y = 0 Solving 9 + -2y = 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 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5

Solution

y = {-4, 4.5}

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