(6y+19)(5y+7)=0

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Solution for (6y+19)(5y+7)=0 equation:


Simplifying
(6y + 19)(5y + 7) = 0

Reorder the terms:
(19 + 6y)(5y + 7) = 0

Reorder the terms:
(19 + 6y)(7 + 5y) = 0

Multiply (19 + 6y) * (7 + 5y)
(19(7 + 5y) + 6y * (7 + 5y)) = 0
((7 * 19 + 5y * 19) + 6y * (7 + 5y)) = 0
((133 + 95y) + 6y * (7 + 5y)) = 0
(133 + 95y + (7 * 6y + 5y * 6y)) = 0
(133 + 95y + (42y + 30y2)) = 0

Combine like terms: 95y + 42y = 137y
(133 + 137y + 30y2) = 0

Solving
133 + 137y + 30y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(19 + 6y)(7 + 5y) = 0

Subproblem 1

Set the factor '(19 + 6y)' equal to zero and attempt to solve: Simplifying 19 + 6y = 0 Solving 19 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6y = 0 + -19 6y = 0 + -19 Combine like terms: 0 + -19 = -19 6y = -19 Divide each side by '6'. y = -3.166666667 Simplifying y = -3.166666667

Subproblem 2

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

Solution

y = {-3.166666667, -1.4}

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