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Simplifying (5 + -2y)(2 + -3y) = 0 Multiply (5 + -2y) * (2 + -3y) (5(2 + -3y) + -2y * (2 + -3y)) = 0 ((2 * 5 + -3y * 5) + -2y * (2 + -3y)) = 0 ((10 + -15y) + -2y * (2 + -3y)) = 0 (10 + -15y + (2 * -2y + -3y * -2y)) = 0 (10 + -15y + (-4y + 6y2)) = 0 Combine like terms: -15y + -4y = -19y (10 + -19y + 6y2) = 0 Solving 10 + -19y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -3y)(5 + -2y) = 0Subproblem 1
Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {0.6666666667, 2.5}
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