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Simplifying (16y + 13) + -1[-3y2 + -1(8y + -13)] = 0 Reorder the terms: (13 + 16y) + -1[-3y2 + -1(8y + -13)] = 0 Remove parenthesis around (13 + 16y) 13 + 16y + -1[-3y2 + -1(8y + -13)] = 0 Reorder the terms: 13 + 16y + -1[-3y2 + -1(-13 + 8y)] = 0 13 + 16y + -1[-3y2 + (-13 * -1 + 8y * -1)] = 0 13 + 16y + -1[-3y2 + (13 + -8y)] = 0 Reorder the terms: 13 + 16y + -1[13 + -8y + -3y2] = 0 13 + 16y + [13 * -1 + -8y * -1 + -3y2 * -1] = 0 13 + 16y + [-13 + 8y + 3y2] = 0 Reorder the terms: 13 + -13 + 16y + 8y + 3y2 = 0 Combine like terms: 13 + -13 = 0 0 + 16y + 8y + 3y2 = 0 16y + 8y + 3y2 = 0 Combine like terms: 16y + 8y = 24y 24y + 3y2 = 0 Solving 24y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(8 + y) = 0 Ignore the factor 3.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 '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Solution
y = {0, -8}
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