(y-5)(y+7)=

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


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

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

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

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

Combine like terms: -5y + 7y = 2y
(-35 + 2y + y2) = 0

Solving
-35 + 2y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(5 + -1y) = 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 '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {-7, 5}

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