30y^2+77y+49=0

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Solution for 30y^2+77y+49=0 equation:


Simplifying
30y2 + 77y + 49 = 0

Reorder the terms:
49 + 77y + 30y2 = 0

Solving
49 + 77y + 30y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 5y)(7 + 6y) = 0

Subproblem 1

Set the factor '(7 + 5y)' equal to zero and attempt to solve: Simplifying 7 + 5y = 0 Solving 7 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 0 + -7 5y = 0 + -7 Combine like terms: 0 + -7 = -7 5y = -7 Divide each side by '5'. y = -1.4 Simplifying y = -1.4

Subproblem 2

Set the factor '(7 + 6y)' equal to zero and attempt to solve: Simplifying 7 + 6y = 0 Solving 7 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 0 + -7 6y = 0 + -7 Combine like terms: 0 + -7 = -7 6y = -7 Divide each side by '6'. y = -1.166666667 Simplifying y = -1.166666667

Solution

y = {-1.4, -1.166666667}

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