-144+320y+9y^2=0

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Solution for -144+320y+9y^2=0 equation:


Simplifying
-144 + 320y + 9y2 = 0

Solving
-144 + 320y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-36 + -1y)(4 + -9y) = 0

Subproblem 1

Set the factor '(-36 + -1y)' equal to zero and attempt to solve: Simplifying -36 + -1y = 0 Solving -36 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1y = 0 + 36 -1y = 0 + 36 Combine like terms: 0 + 36 = 36 -1y = 36 Divide each side by '-1'. y = -36 Simplifying y = -36

Subproblem 2

Set the factor '(4 + -9y)' equal to zero and attempt to solve: Simplifying 4 + -9y = 0 Solving 4 + -9y = 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 + -9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9y = 0 + -4 -9y = 0 + -4 Combine like terms: 0 + -4 = -4 -9y = -4 Divide each side by '-9'. y = 0.4444444444 Simplifying y = 0.4444444444

Solution

y = {-36, 0.4444444444}

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