(3-2y)(2-y)=

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


Simplifying
(3 + -2y)(2 + -1y) = 0

Multiply (3 + -2y) * (2 + -1y)
(3(2 + -1y) + -2y * (2 + -1y)) = 0
((2 * 3 + -1y * 3) + -2y * (2 + -1y)) = 0
((6 + -3y) + -2y * (2 + -1y)) = 0
(6 + -3y + (2 * -2y + -1y * -2y)) = 0
(6 + -3y + (-4y + 2y2)) = 0

Combine like terms: -3y + -4y = -7y
(6 + -7y + 2y2) = 0

Solving
6 + -7y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -2y)(2 + -1y) = 0

Subproblem 1

Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {1.5, 2}

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