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Simplifying (4y + 9)(6y + y) = 0 Reorder the terms: (9 + 4y)(6y + y) = 0 Combine like terms: 6y + y = 7y (9 + 4y)(7y) = 0 Remove parenthesis around (7y) (9 + 4y) * 7y = 0 Reorder the terms for easier multiplication: 7y(9 + 4y) = 0 (9 * 7y + 4y * 7y) = 0 (63y + 28y2) = 0 Solving 63y + 28y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y'. 7y(9 + 4y) = 0 Ignore the factor 7.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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