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Simplifying (6 + 5y)(9 + -4y) = 0 Multiply (6 + 5y) * (9 + -4y) (6(9 + -4y) + 5y * (9 + -4y)) = 0 ((9 * 6 + -4y * 6) + 5y * (9 + -4y)) = 0 ((54 + -24y) + 5y * (9 + -4y)) = 0 (54 + -24y + (9 * 5y + -4y * 5y)) = 0 (54 + -24y + (45y + -20y2)) = 0 Combine like terms: -24y + 45y = 21y (54 + 21y + -20y2) = 0 Solving 54 + 21y + -20y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -4y)(6 + 5y) = 0Subproblem 1
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 = 2.25Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Solution
y = {2.25, -1.2}
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