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Simplifying (3 + -5y)(9 + -4y) = 0 Multiply (3 + -5y) * (9 + -4y) (3(9 + -4y) + -5y * (9 + -4y)) = 0 ((9 * 3 + -4y * 3) + -5y * (9 + -4y)) = 0 ((27 + -12y) + -5y * (9 + -4y)) = 0 (27 + -12y + (9 * -5y + -4y * -5y)) = 0 (27 + -12y + (-45y + 20y2)) = 0 Combine like terms: -12y + -45y = -57y (27 + -57y + 20y2) = 0 Solving 27 + -57y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -5y)(9 + -4y) = 0Subproblem 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 = 0.6Subproblem 2
Set the factor '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25Solution
y = {0.6, 2.25}
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