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Simplifying 0 = 10y2 + 57y Reorder the terms: 0 = 57y + 10y2 Solving 0 = 57y + 10y2 Solving for variable 'y'. Remove the zero: -57y + -10y2 = 57y + 10y2 + -57y + -10y2 Reorder the terms: -57y + -10y2 = 57y + -57y + 10y2 + -10y2 Combine like terms: 57y + -57y = 0 -57y + -10y2 = 0 + 10y2 + -10y2 -57y + -10y2 = 10y2 + -10y2 Combine like terms: 10y2 + -10y2 = 0 -57y + -10y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(57 + 10y) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(57 + 10y)' equal to zero and attempt to solve: Simplifying 57 + 10y = 0 Solving 57 + 10y = 0 Move all terms containing y to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 10y = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 10y = 0 + -57 10y = 0 + -57 Combine like terms: 0 + -57 = -57 10y = -57 Divide each side by '10'. y = -5.7 Simplifying y = -5.7Solution
y = {0, -5.7}
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