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Simplifying (7 + -3y)(9 + -2y) = 0 Multiply (7 + -3y) * (9 + -2y) (7(9 + -2y) + -3y * (9 + -2y)) = 0 ((9 * 7 + -2y * 7) + -3y * (9 + -2y)) = 0 ((63 + -14y) + -3y * (9 + -2y)) = 0 (63 + -14y + (9 * -3y + -2y * -3y)) = 0 (63 + -14y + (-27y + 6y2)) = 0 Combine like terms: -14y + -27y = -41y (63 + -41y + 6y2) = 0 Solving 63 + -41y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -3y)(9 + -2y) = 0Subproblem 1
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Subproblem 2
Set the factor '(9 + -2y)' equal to zero and attempt to solve: Simplifying 9 + -2y = 0 Solving 9 + -2y = 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 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5Solution
y = {2.333333333, 4.5}
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