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Simplifying 40(4y + -9) * 5y = 0 Reorder the terms: 40(-9 + 4y) * 5y = 0 Reorder the terms for easier multiplication: 40 * 5y(-9 + 4y) = 0 Multiply 40 * 5 200y(-9 + 4y) = 0 (-9 * 200y + 4y * 200y) = 0 (-1800y + 800y2) = 0 Solving -1800y + 800y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '200y'. 200y(-9 + 4y) = 0 Ignore the factor 200.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
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 = 2.25Solution
y = {0, 2.25}
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