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Simplifying 20y2 + -92y + 80 = 3 Reorder the terms: 80 + -92y + 20y2 = 3 Solving 80 + -92y + 20y2 = 3 Solving for variable 'y'. Reorder the terms: 80 + -3 + -92y + 20y2 = 3 + -3 Combine like terms: 80 + -3 = 77 77 + -92y + 20y2 = 3 + -3 Combine like terms: 3 + -3 = 0 77 + -92y + 20y2 = 0 Factor a trinomial. (11 + -10y)(7 + -2y) = 0Subproblem 1
Set the factor '(11 + -10y)' equal to zero and attempt to solve: Simplifying 11 + -10y = 0 Solving 11 + -10y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10y = 0 + -11 -10y = 0 + -11 Combine like terms: 0 + -11 = -11 -10y = -11 Divide each side by '-10'. y = 1.1 Simplifying y = 1.1Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {1.1, 3.5}
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