(3-5y)(2+y)=

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Solution for (3-5y)(2+y)= equation:


Simplifying
(3 + -5y)(2 + y) = 0

Multiply (3 + -5y) * (2 + y)
(3(2 + y) + -5y * (2 + y)) = 0
((2 * 3 + y * 3) + -5y * (2 + y)) = 0
((6 + 3y) + -5y * (2 + y)) = 0
(6 + 3y + (2 * -5y + y * -5y)) = 0
(6 + 3y + (-10y + -5y2)) = 0

Combine like terms: 3y + -10y = -7y
(6 + -7y + -5y2) = 0

Solving
6 + -7y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -5y)(2 + y) = 0

Subproblem 1

Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6

Subproblem 2

Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2

Solution

y = {0.6, -2}

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