30y-25y^2-9=0

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Solution for 30y-25y^2-9=0 equation:


Simplifying
30y + -25y2 + -9 = 0

Reorder the terms:
-9 + 30y + -25y2 = 0

Solving
-9 + 30y + -25y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + 5y)(3 + -5y) = 0

Subproblem 1

Set the factor '(-3 + 5y)' equal to zero and attempt to solve: Simplifying -3 + 5y = 0 Solving -3 + 5y = 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 + 5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5y = 0 + 3 5y = 0 + 3 Combine like terms: 0 + 3 = 3 5y = 3 Divide each side by '5'. y = 0.6 Simplifying y = 0.6

Subproblem 2

Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6

Solution

y = {0.6, 0.6}

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