5y^2-9y-44=0

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Solution for 5y^2-9y-44=0 equation:


Simplifying
5y2 + -9y + -44 = 0

Reorder the terms:
-44 + -9y + 5y2 = 0

Solving
-44 + -9y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-11 + -5y)(4 + -1y) = 0

Subproblem 1

Set the factor '(-11 + -5y)' equal to zero and attempt to solve: Simplifying -11 + -5y = 0 Solving -11 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5y = 0 + 11 -5y = 0 + 11 Combine like terms: 0 + 11 = 11 -5y = 11 Divide each side by '-5'. y = -2.2 Simplifying y = -2.2

Subproblem 2

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {-2.2, 4}

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