(6+y)(2y+5)=0

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Solution for (6+y)(2y+5)=0 equation:


Simplifying
(6 + y)(2y + 5) = 0

Reorder the terms:
(6 + y)(5 + 2y) = 0

Multiply (6 + y) * (5 + 2y)
(6(5 + 2y) + y(5 + 2y)) = 0
((5 * 6 + 2y * 6) + y(5 + 2y)) = 0
((30 + 12y) + y(5 + 2y)) = 0
(30 + 12y + (5 * y + 2y * y)) = 0
(30 + 12y + (5y + 2y2)) = 0

Combine like terms: 12y + 5y = 17y
(30 + 17y + 2y2) = 0

Solving
30 + 17y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + y)(5 + 2y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 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 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5

Solution

y = {-6, -2.5}

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