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Simplifying 12y2 + 16y + -3y = 0 Reorder the terms: 16y + -3y + 12y2 = 0 Combine like terms: 16y + -3y = 13y 13y + 12y2 = 0 Solving 13y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(13 + 12y) = 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 + 12y)' equal to zero and attempt to solve: Simplifying 13 + 12y = 0 Solving 13 + 12y = 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 + 12y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12y = 0 + -13 12y = 0 + -13 Combine like terms: 0 + -13 = -13 12y = -13 Divide each side by '12'. y = -1.083333333 Simplifying y = -1.083333333Solution
y = {0, -1.083333333}
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