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Simplifying (3y2 + 7y + -2) + -1(-9 + 7) = 0 Reorder the terms: (-2 + 7y + 3y2) + -1(-9 + 7) = 0 Remove parenthesis around (-2 + 7y + 3y2) -2 + 7y + 3y2 + -1(-9 + 7) = 0 Combine like terms: -9 + 7 = -2 -2 + 7y + 3y2 + -1(-2) = 0 Multiply -1 * -2 -2 + 7y + 3y2 + 2 = 0 Reorder the terms: -2 + 2 + 7y + 3y2 = 0 Combine like terms: -2 + 2 = 0 0 + 7y + 3y2 = 0 7y + 3y2 = 0 Solving 7y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(7 + 3y) = 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 '(7 + 3y)' equal to zero and attempt to solve: Simplifying 7 + 3y = 0 Solving 7 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 0 + -7 3y = 0 + -7 Combine like terms: 0 + -7 = -7 3y = -7 Divide each side by '3'. y = -2.333333333 Simplifying y = -2.333333333Solution
y = {0, -2.333333333}
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