-2y^2-16y-32=0

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Solution for -2y^2-16y-32=0 equation:


Simplifying
-2y2 + -16y + -32 = 0

Reorder the terms:
-32 + -16y + -2y2 = 0

Solving
-32 + -16y + -2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(16 + 8y + y2) = 0

Factor a trinomial.
-2((4 + y)(4 + y)) = 0

Ignore the factor -2.

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 '(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

Solution

y = {-4, -4}

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