(-7-y)y=12

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Solution for (-7-y)y=12 equation:


Simplifying
(-7 + -1y) * y = 12

Reorder the terms for easier multiplication:
y(-7 + -1y) = 12
(-7 * y + -1y * y) = 12
(-7y + -1y2) = 12

Solving
-7y + -1y2 = 12

Solving for variable 'y'.

Reorder the terms:
-12 + -7y + -1y2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -7y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 7y + y2) = 0

Factor a trinomial.
-1((4 + y)(3 + y)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4

Subproblem 2

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Solution

y = {-4, -3}

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