-9y-5=4y^2

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


Simplifying
-9y + -5 = 4y2

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

Solving
-5 + -9y = 4y2

Solving for variable 'y'.

Combine like terms: 4y2 + -4y2 = 0
-5 + -9y + -4y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 9y + 4y2) = 0

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

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25

Subproblem 2

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

Solution

y = {-1.25, -1}

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