y^2+5y-7y-35=0

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Solution for y^2+5y-7y-35=0 equation:


Simplifying
y2 + 5y + -7y + -35 = 0

Reorder the terms:
-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.
(-5 + -1y)(7 + -1y) = 0

Subproblem 1

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

Subproblem 2

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

Solution

y = {-5, 7}

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