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Simplifying 8y2 + -1[-8y + -1(-10y2 + 9y)] + -1[6 + (-11y + -6)] = 0 Reorder the terms: 8y2 + -1[-8y + -1(9y + -10y2)] + -1[6 + (-11y + -6)] = 0 8y2 + -1[-8y + (9y * -1 + -10y2 * -1)] + -1[6 + (-11y + -6)] = 0 8y2 + -1[-8y + (-9y + 10y2)] + -1[6 + (-11y + -6)] = 0 Combine like terms: -8y + -9y = -17y 8y2 + -1[-17y + 10y2] + -1[6 + (-11y + -6)] = 0 8y2 + [-17y * -1 + 10y2 * -1] + -1[6 + (-11y + -6)] = 0 8y2 + [17y + -10y2] + -1[6 + (-11y + -6)] = 0 Reorder the terms: 8y2 + 17y + -10y2 + -1[6 + (-6 + -11y)] = 0 Remove parenthesis around (-6 + -11y) 8y2 + 17y + -10y2 + -1[6 + -6 + -11y] = 0 Combine like terms: 6 + -6 = 0 8y2 + 17y + -10y2 + -1[0 + -11y] = 0 8y2 + 17y + -10y2 + -1[-11y] = 0 Remove brackets around [-11y] 8y2 + 17y + -10y2 + -1 * -11y = 0 Multiply -1 * -11 8y2 + 17y + -10y2 + 11y = 0 Reorder the terms: 17y + 11y + 8y2 + -10y2 = 0 Combine like terms: 17y + 11y = 28y 28y + 8y2 + -10y2 = 0 Combine like terms: 8y2 + -10y2 = -2y2 28y + -2y2 = 0 Solving 28y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(14 + -1y) = 0 Ignore the factor 2.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 '(14 + -1y)' equal to zero and attempt to solve: Simplifying 14 + -1y = 0 Solving 14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 0 + -14 -1y = 0 + -14 Combine like terms: 0 + -14 = -14 -1y = -14 Divide each side by '-1'. y = 14 Simplifying y = 14Solution
y = {0, 14}
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