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Simplifying (120 + -8y)(7.5 + -0.5y) = 0 Multiply (120 + -8y) * (7.5 + -0.5y) (120(7.5 + -0.5y) + -8y * (7.5 + -0.5y)) = 0 ((7.5 * 120 + -0.5y * 120) + -8y * (7.5 + -0.5y)) = 0 ((900 + -60y) + -8y * (7.5 + -0.5y)) = 0 (900 + -60y + (7.5 * -8y + -0.5y * -8y)) = 0 (900 + -60y + (-60y + 4y2)) = 0 Combine like terms: -60y + -60y = -120y (900 + -120y + 4y2) = 0 Solving 900 + -120y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(225 + -30y + y2) = 0 Factor a trinomial. 4((15 + -1y)(15 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Subproblem 2
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Solution
y = {15, 15}
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