y*y+4y-96=0

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Solution for y*y+4y-96=0 equation:


Simplifying
y * y + 4y + -96 = 0

Multiply y * y
y2 + 4y + -96 = 0

Reorder the terms:
-96 + 4y + y2 = 0

Solving
-96 + 4y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-12 + -1y)(8 + -1y) = 0

Subproblem 1

Set the factor '(-12 + -1y)' equal to zero and attempt to solve: Simplifying -12 + -1y = 0 Solving -12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12

Subproblem 2

Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8

Solution

y = {-12, 8}

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