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Simplifying 3 + -21y + -24y2 = 0 Solving 3 + -21y + -24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -7y + -8y2) = 0 Factor a trinomial. 3((1 + -8y)(1 + y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve: Simplifying 1 + -8y = 0 Solving 1 + -8y = 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 + -8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8y = 0 + -1 -8y = 0 + -1 Combine like terms: 0 + -1 = -1 -8y = -1 Divide each side by '-8'. y = 0.125 Simplifying y = 0.125Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {0.125, -1}
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