(3y-9)(y+1)=

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Solution for (3y-9)(y+1)= equation:


Simplifying
(3y + -9)(y + 1) = 0

Reorder the terms:
(-9 + 3y)(y + 1) = 0

Reorder the terms:
(-9 + 3y)(1 + y) = 0

Multiply (-9 + 3y) * (1 + y)
(-9(1 + y) + 3y * (1 + y)) = 0
((1 * -9 + y * -9) + 3y * (1 + y)) = 0
((-9 + -9y) + 3y * (1 + y)) = 0
(-9 + -9y + (1 * 3y + y * 3y)) = 0
(-9 + -9y + (3y + 3y2)) = 0

Combine like terms: -9y + 3y = -6y
(-9 + -6y + 3y2) = 0

Solving
-9 + -6y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + -2y + y2) = 0

Factor a trinomial.
3((-1 + -1y)(3 + -1y)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Solution

y = {-1, 3}

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