(3-2y)(4-5y)=

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Solution for (3-2y)(4-5y)= equation:


Simplifying
(3 + -2y)(4 + -5y) = 0

Multiply (3 + -2y) * (4 + -5y)
(3(4 + -5y) + -2y * (4 + -5y)) = 0
((4 * 3 + -5y * 3) + -2y * (4 + -5y)) = 0
((12 + -15y) + -2y * (4 + -5y)) = 0
(12 + -15y + (4 * -2y + -5y * -2y)) = 0
(12 + -15y + (-8y + 10y2)) = 0

Combine like terms: -15y + -8y = -23y
(12 + -23y + 10y2) = 0

Solving
12 + -23y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -5y)(3 + -2y) = 0

Subproblem 1

Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8

Subproblem 2

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

Solution

y = {0.8, 1.5}

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