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Simplifying 6y2 + -25y = -19 Reorder the terms: -25y + 6y2 = -19 Solving -25y + 6y2 = -19 Solving for variable 'y'. Reorder the terms: 19 + -25y + 6y2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + -25y + 6y2 = 0 Factor a trinomial. (1 + -1y)(19 + -6y) = 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 '(19 + -6y)' equal to zero and attempt to solve: Simplifying 19 + -6y = 0 Solving 19 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6y = 0 + -19 -6y = 0 + -19 Combine like terms: 0 + -19 = -19 -6y = -19 Divide each side by '-6'. y = 3.166666667 Simplifying y = 3.166666667Solution
y = {1, 3.166666667}
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