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Simplifying 3y2 + -7y + -8y2 + -5y = 0 Reorder the terms: -7y + -5y + 3y2 + -8y2 = 0 Combine like terms: -7y + -5y = -12y -12y + 3y2 + -8y2 = 0 Combine like terms: 3y2 + -8y2 = -5y2 -12y + -5y2 = 0 Solving -12y + -5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y'. -1y(12 + 5y) = 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 '(12 + 5y)' equal to zero and attempt to solve: Simplifying 12 + 5y = 0 Solving 12 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 0 + -12 5y = 0 + -12 Combine like terms: 0 + -12 = -12 5y = -12 Divide each side by '5'. y = -2.4 Simplifying y = -2.4Solution
y = {0, -2.4}
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