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Simplifying (8 + -5y)(7 + -2y) = 0 Multiply (8 + -5y) * (7 + -2y) (8(7 + -2y) + -5y * (7 + -2y)) = 0 ((7 * 8 + -2y * 8) + -5y * (7 + -2y)) = 0 ((56 + -16y) + -5y * (7 + -2y)) = 0 (56 + -16y + (7 * -5y + -2y * -5y)) = 0 (56 + -16y + (-35y + 10y2)) = 0 Combine like terms: -16y + -35y = -51y (56 + -51y + 10y2) = 0 Solving 56 + -51y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + -5y)(7 + -2y) = 0Subproblem 1
Set the factor '(8 + -5y)' equal to zero and attempt to solve: Simplifying 8 + -5y = 0 Solving 8 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = 0 + -8 -5y = 0 + -8 Combine like terms: 0 + -8 = -8 -5y = -8 Divide each side by '-5'. y = 1.6 Simplifying y = 1.6Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {1.6, 3.5}
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