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Simplifying (y2 + -8y + 3) + -1(3y2 + -5y + 3) = 0 Reorder the terms: (3 + -8y + y2) + -1(3y2 + -5y + 3) = 0 Remove parenthesis around (3 + -8y + y2) 3 + -8y + y2 + -1(3y2 + -5y + 3) = 0 Reorder the terms: 3 + -8y + y2 + -1(3 + -5y + 3y2) = 0 3 + -8y + y2 + (3 * -1 + -5y * -1 + 3y2 * -1) = 0 3 + -8y + y2 + (-3 + 5y + -3y2) = 0 Reorder the terms: 3 + -3 + -8y + 5y + y2 + -3y2 = 0 Combine like terms: 3 + -3 = 0 0 + -8y + 5y + y2 + -3y2 = 0 -8y + 5y + y2 + -3y2 = 0 Combine like terms: -8y + 5y = -3y -3y + y2 + -3y2 = 0 Combine like terms: y2 + -3y2 = -2y2 -3y + -2y2 = 0 Solving -3y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y'. -1y(3 + 2y) = 0 Ignore the factor -1.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 '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {0, -1.5}
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