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Simplifying (8y2 + 6y) + -1(-8y2 + -2y + 8) = 0 Reorder the terms: (6y + 8y2) + -1(-8y2 + -2y + 8) = 0 Remove parenthesis around (6y + 8y2) 6y + 8y2 + -1(-8y2 + -2y + 8) = 0 Reorder the terms: 6y + 8y2 + -1(8 + -2y + -8y2) = 0 6y + 8y2 + (8 * -1 + -2y * -1 + -8y2 * -1) = 0 6y + 8y2 + (-8 + 2y + 8y2) = 0 Reorder the terms: -8 + 6y + 2y + 8y2 + 8y2 = 0 Combine like terms: 6y + 2y = 8y -8 + 8y + 8y2 + 8y2 = 0 Combine like terms: 8y2 + 8y2 = 16y2 -8 + 8y + 16y2 = 0 Solving -8 + 8y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8'. 8(-1 + y + 2y2) = 0 Factor a trinomial. 8((-1 + -1y)(1 + -2y)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-1, 0.5}
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