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Simplifying -2y(6y + -4) + 3y = 0 Reorder the terms: -2y(-4 + 6y) + 3y = 0 (-4 * -2y + 6y * -2y) + 3y = 0 (8y + -12y2) + 3y = 0 Reorder the terms: 8y + 3y + -12y2 = 0 Combine like terms: 8y + 3y = 11y 11y + -12y2 = 0 Solving 11y + -12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(11 + -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 '(11 + -12y)' equal to zero and attempt to solve: Simplifying 11 + -12y = 0 Solving 11 + -12y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -12y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -12y = 0 + -11 -12y = 0 + -11 Combine like terms: 0 + -11 = -11 -12y = -11 Divide each side by '-12'. y = 0.9166666667 Simplifying y = 0.9166666667Solution
y = {0, 0.9166666667}
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