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Simplifying 5(2 + -3y) * 9y = 0 Reorder the terms for easier multiplication: 5 * 9y(2 + -3y) = 0 Multiply 5 * 9 45y(2 + -3y) = 0 (2 * 45y + -3y * 45y) = 0 (90y + -135y2) = 0 Solving 90y + -135y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '45y'. 45y(2 + -3y) = 0 Ignore the factor 45.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 '(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 = 0.6666666667Solution
y = {0, 0.6666666667}
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