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Simplifying -1y(-1y + -2) + -6y2 = 0 Reorder the terms: -1y(-2 + -1y) + -6y2 = 0 (-2 * -1y + -1y * -1y) + -6y2 = 0 (2y + 1y2) + -6y2 = 0 Combine like terms: 1y2 + -6y2 = -5y2 2y + -5y2 = 0 Solving 2y + -5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(2 + -5y) = 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 '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Solution
y = {0, 0.4}
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