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Simplifying 428y + 32y2 + -54 = 0 Reorder the terms: -54 + 428y + 32y2 = 0 Solving -54 + 428y + 32y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 214y + 16y2) = 0 Factor a trinomial. 2((-27 + -2y)(1 + -8y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-27 + -2y)' equal to zero and attempt to solve: Simplifying -27 + -2y = 0 Solving -27 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2y = 0 + 27 -2y = 0 + 27 Combine like terms: 0 + 27 = 27 -2y = 27 Divide each side by '-2'. y = -13.5 Simplifying y = -13.5Subproblem 2
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 = 0.125Solution
y = {-13.5, 0.125}
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