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Simplifying 10y2 + -19y + 9 = 0 Reorder the terms: 9 + -19y + 10y2 = 0 Solving 9 + -19y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + -10y)(1 + -1y) = 0Subproblem 1
Set the factor '(9 + -10y)' equal to zero and attempt to solve: Simplifying 9 + -10y = 0 Solving 9 + -10y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10y = 0 + -9 -10y = 0 + -9 Combine like terms: 0 + -9 = -9 -10y = -9 Divide each side by '-10'. y = 0.9 Simplifying y = 0.9Subproblem 2
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 = 1Solution
y = {0.9, 1}
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