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Simplifying (6y + 9) + -1(-9y2 + -7y + 9) = 0 Reorder the terms: (9 + 6y) + -1(-9y2 + -7y + 9) = 0 Remove parenthesis around (9 + 6y) 9 + 6y + -1(-9y2 + -7y + 9) = 0 Reorder the terms: 9 + 6y + -1(9 + -7y + -9y2) = 0 9 + 6y + (9 * -1 + -7y * -1 + -9y2 * -1) = 0 9 + 6y + (-9 + 7y + 9y2) = 0 Reorder the terms: 9 + -9 + 6y + 7y + 9y2 = 0 Combine like terms: 9 + -9 = 0 0 + 6y + 7y + 9y2 = 0 6y + 7y + 9y2 = 0 Combine like terms: 6y + 7y = 13y 13y + 9y2 = 0 Solving 13y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(13 + 9y) = 0Subproblem 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 '(13 + 9y)' equal to zero and attempt to solve: Simplifying 13 + 9y = 0 Solving 13 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9y = 0 + -13 9y = 0 + -13 Combine like terms: 0 + -13 = -13 9y = -13 Divide each side by '9'. y = -1.444444444 Simplifying y = -1.444444444Solution
y = {0, -1.444444444}
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