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Simplifying (7 + -4y)(9 + -5y) = 0 Multiply (7 + -4y) * (9 + -5y) (7(9 + -5y) + -4y * (9 + -5y)) = 0 ((9 * 7 + -5y * 7) + -4y * (9 + -5y)) = 0 ((63 + -35y) + -4y * (9 + -5y)) = 0 (63 + -35y + (9 * -4y + -5y * -4y)) = 0 (63 + -35y + (-36y + 20y2)) = 0 Combine like terms: -35y + -36y = -71y (63 + -71y + 20y2) = 0 Solving 63 + -71y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -4y)(9 + -5y) = 0Subproblem 1
Set the factor '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Subproblem 2
Set the factor '(9 + -5y)' equal to zero and attempt to solve: Simplifying 9 + -5y = 0 Solving 9 + -5y = 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 + -5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = 0 + -9 -5y = 0 + -9 Combine like terms: 0 + -9 = -9 -5y = -9 Divide each side by '-5'. y = 1.8 Simplifying y = 1.8Solution
y = {1.75, 1.8}
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