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

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Solution for (5y-1)(9+y)=0 equation:


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

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

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

Combine like terms: -1y + 45y = 44y
(-9 + 44y + 5y2) = 0

Solving
-9 + 44y + 5y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 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 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9

Subproblem 2

Set the factor '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2

Solution

y = {-9, 0.2}

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