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Simplifying 400 + -120y + 10y2 + -120 + 10y = 0 Reorder the terms: 400 + -120 + -120y + 10y + 10y2 = 0 Combine like terms: 400 + -120 = 280 280 + -120y + 10y + 10y2 = 0 Combine like terms: -120y + 10y = -110y 280 + -110y + 10y2 = 0 Solving 280 + -110y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '10'. 10(28 + -11y + y2) = 0 Factor a trinomial. 10((4 + -1y)(7 + -1y)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {4, 7}
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