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Simplifying -6y(y) + -1[2y + -3y(y + -3)] = 0 Multiply y * y -6y2 + -1[2y + -3y(y + -3)] = 0 Reorder the terms: -6y2 + -1[2y + -3y(-3 + y)] = 0 -6y2 + -1[2y + (-3 * -3y + y * -3y)] = 0 -6y2 + -1[2y + (9y + -3y2)] = 0 Combine like terms: 2y + 9y = 11y -6y2 + -1[11y + -3y2] = 0 -6y2 + [11y * -1 + -3y2 * -1] = 0 -6y2 + [-11y + 3y2] = 0 Reorder the terms: -11y + -6y2 + 3y2 = 0 Combine like terms: -6y2 + 3y2 = -3y2 -11y + -3y2 = 0 Solving -11y + -3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y'. -1y(11 + 3y) = 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 '(11 + 3y)' equal to zero and attempt to solve: Simplifying 11 + 3y = 0 Solving 11 + 3y = 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 + 3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3y = 0 + -11 3y = 0 + -11 Combine like terms: 0 + -11 = -11 3y = -11 Divide each side by '3'. y = -3.666666667 Simplifying y = -3.666666667Solution
y = {0, -3.666666667}
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