(5y-9)(7+y)=0

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Solution for (5y-9)(7+y)=0 equation:


Simplifying
(5y + -9)(7 + y) = 0

Reorder the terms:
(-9 + 5y)(7 + y) = 0

Multiply (-9 + 5y) * (7 + y)
(-9(7 + y) + 5y * (7 + y)) = 0
((7 * -9 + y * -9) + 5y * (7 + y)) = 0
((-63 + -9y) + 5y * (7 + y)) = 0
(-63 + -9y + (7 * 5y + y * 5y)) = 0
(-63 + -9y + (35y + 5y2)) = 0

Combine like terms: -9y + 35y = 26y
(-63 + 26y + 5y2) = 0

Solving
-63 + 26y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(9 + -5y) = 0

Subproblem 1

Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7

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 = {-7, 1.8}

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