(y+7)(y-1)=0

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Solution for (y+7)(y-1)=0 equation:


Simplifying
(y + 7)(y + -1) = 0

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

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

Multiply (7 + y) * (-1 + y)
(7(-1 + y) + y(-1 + y)) = 0
((-1 * 7 + y * 7) + y(-1 + y)) = 0
((-7 + 7y) + y(-1 + y)) = 0
(-7 + 7y + (-1 * y + y * y)) = 0
(-7 + 7y + (-1y + y2)) = 0

Combine like terms: 7y + -1y = 6y
(-7 + 6y + y2) = 0

Solving
-7 + 6y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(1 + -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 '(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

Solution

y = {-7, 1}

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