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Simplifying 27y + -14y2 = 10 Solving 27y + -14y2 = 10 Solving for variable 'y'. Reorder the terms: -10 + 27y + -14y2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 27y + -14y2 = 0 Factor a trinomial. (-10 + 7y)(1 + -2y) = 0Subproblem 1
Set the factor '(-10 + 7y)' equal to zero and attempt to solve: Simplifying -10 + 7y = 0 Solving -10 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 0 + 10 7y = 0 + 10 Combine like terms: 0 + 10 = 10 7y = 10 Divide each side by '7'. y = 1.428571429 Simplifying y = 1.428571429Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {1.428571429, 0.5}
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