(3y+5)(1+y)=0

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Solution for (3y+5)(1+y)=0 equation:


Simplifying
(3y + 5)(1 + y) = 0

Reorder the terms:
(5 + 3y)(1 + y) = 0

Multiply (5 + 3y) * (1 + y)
(5(1 + y) + 3y * (1 + y)) = 0
((1 * 5 + y * 5) + 3y * (1 + y)) = 0
((5 + 5y) + 3y * (1 + y)) = 0
(5 + 5y + (1 * 3y + y * 3y)) = 0
(5 + 5y + (3y + 3y2)) = 0

Combine like terms: 5y + 3y = 8y
(5 + 8y + 3y2) = 0

Solving
5 + 8y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + 3y)(1 + y) = 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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1

Solution

y = {-1.666666667, -1}

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