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Simplifying 9(7y2 + -5y + 2) + -3(9y2 + -4y + 6) = 0 Reorder the terms: 9(2 + -5y + 7y2) + -3(9y2 + -4y + 6) = 0 (2 * 9 + -5y * 9 + 7y2 * 9) + -3(9y2 + -4y + 6) = 0 (18 + -45y + 63y2) + -3(9y2 + -4y + 6) = 0 Reorder the terms: 18 + -45y + 63y2 + -3(6 + -4y + 9y2) = 0 18 + -45y + 63y2 + (6 * -3 + -4y * -3 + 9y2 * -3) = 0 18 + -45y + 63y2 + (-18 + 12y + -27y2) = 0 Reorder the terms: 18 + -18 + -45y + 12y + 63y2 + -27y2 = 0 Combine like terms: 18 + -18 = 0 0 + -45y + 12y + 63y2 + -27y2 = 0 -45y + 12y + 63y2 + -27y2 = 0 Combine like terms: -45y + 12y = -33y -33y + 63y2 + -27y2 = 0 Combine like terms: 63y2 + -27y2 = 36y2 -33y + 36y2 = 0 Solving -33y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-11 + 12y) = 0 Ignore the factor 3.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 '(-11 + 12y)' equal to zero and attempt to solve: Simplifying -11 + 12y = 0 Solving -11 + 12y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12y = 0 + 11 12y = 0 + 11 Combine like terms: 0 + 11 = 11 12y = 11 Divide each side by '12'. y = 0.9166666667 Simplifying y = 0.9166666667Solution
y = {0, 0.9166666667}
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