30y^2-97y+60=0

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Solution for 30y^2-97y+60=0 equation:


Simplifying
30y2 + -97y + 60 = 0

Reorder the terms:
60 + -97y + 30y2 = 0

Solving
60 + -97y + 30y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -6y)(12 + -5y) = 0

Subproblem 1

Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 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 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333

Subproblem 2

Set the factor '(12 + -5y)' equal to zero and attempt to solve: Simplifying 12 + -5y = 0 Solving 12 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = 0 + -12 -5y = 0 + -12 Combine like terms: 0 + -12 = -12 -5y = -12 Divide each side by '-5'. y = 2.4 Simplifying y = 2.4

Solution

y = {0.8333333333, 2.4}

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