9(y^2)-5y-4=0

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Solution for 9(y^2)-5y-4=0 equation:


Simplifying
9(y2) + -5y + -4 = 0

Reorder the terms:
-4 + -5y + 9y2 = 0

Solving
-4 + -5y + 9y2 = 0

Solving for variable 'y'.

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

Subproblem 1

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

Subproblem 2

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

Solution

y = {-0.4444444444, 1}

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