9y^2+25-30y=0

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


Simplifying
9y2 + 25 + -30y = 0

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

Solving
25 + -30y + 9y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 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 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667

Subproblem 2

Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 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 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667

Solution

y = {1.666666667, 1.666666667}

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