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

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


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

Reorder the terms:
2y(-9 + 2y) + (2y + -9) = 0
(-9 * 2y + 2y * 2y) + (2y + -9) = 0
(-18y + 4y2) + (2y + -9) = 0

Reorder the terms:
-18y + 4y2 + (-9 + 2y) = 0

Remove parenthesis around (-9 + 2y)
-18y + 4y2 + -9 + 2y = 0

Reorder the terms:
-9 + -18y + 2y + 4y2 = 0

Combine like terms: -18y + 2y = -16y
-9 + -16y + 4y2 = 0

Solving
-9 + -16y + 4y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(-1 + -2y)' equal to zero and attempt to solve: Simplifying -1 + -2y = 0 Solving -1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5

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 = {-0.5, 4.5}

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