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Simplifying -8y + -42 + 24y2 = 0 Reorder the terms: -42 + -8y + 24y2 = 0 Solving -42 + -8y + 24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -4y + 12y2) = 0 Factor a trinomial. 2((-7 + -6y)(3 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -6y)' equal to zero and attempt to solve: Simplifying -7 + -6y = 0 Solving -7 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 0 + 7 -6y = 0 + 7 Combine like terms: 0 + 7 = 7 -6y = 7 Divide each side by '-6'. y = -1.166666667 Simplifying y = -1.166666667Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-1.166666667, 1.5}
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