2y^2+10y-48=0

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Solution for 2y^2+10y-48=0 equation:


Simplifying
2y2 + 10y + -48 = 0

Reorder the terms:
-48 + 10y + 2y2 = 0

Solving
-48 + 10y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 5y + y2) = 0

Factor a trinomial.
2((-8 + -1y)(3 + -1y)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Solution

y = {-8, 3}

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