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Simplifying -42y = -35y2 + 56 Reorder the terms: -42y = 56 + -35y2 Solving -42y = 56 + -35y2 Solving for variable 'y'. Reorder the terms: -56 + -42y + 35y2 = 56 + -35y2 + -56 + 35y2 Reorder the terms: -56 + -42y + 35y2 = 56 + -56 + -35y2 + 35y2 Combine like terms: 56 + -56 = 0 -56 + -42y + 35y2 = 0 + -35y2 + 35y2 -56 + -42y + 35y2 = -35y2 + 35y2 Combine like terms: -35y2 + 35y2 = 0 -56 + -42y + 35y2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-8 + -6y + 5y2) = 0 Factor a trinomial. 7((-4 + -5y)(2 + -1y)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-4 + -5y)' equal to zero and attempt to solve: Simplifying -4 + -5y = 0 Solving -4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5y = 0 + 4 -5y = 0 + 4 Combine like terms: 0 + 4 = 4 -5y = 4 Divide each side by '-5'. y = -0.8 Simplifying y = -0.8Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {-0.8, 2}
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