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Simplifying 10y2 + -37y + 27 = 0 Reorder the terms: 27 + -37y + 10y2 = 0 Solving 27 + -37y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(27 + -10y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(27 + -10y)' equal to zero and attempt to solve: Simplifying 27 + -10y = 0 Solving 27 + -10y = 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 + -10y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10y = 0 + -27 -10y = 0 + -27 Combine like terms: 0 + -27 = -27 -10y = -27 Divide each side by '-10'. y = 2.7 Simplifying y = 2.7Solution
y = {1, 2.7}
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