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Simplifying 16y + 11y2 = 12 Solving 16y + 11y2 = 12 Solving for variable 'y'. Reorder the terms: -12 + 16y + 11y2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 16y + 11y2 = 0 Factor a trinomial. (-2 + -1y)(6 + -11y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(6 + -11y)' equal to zero and attempt to solve: Simplifying 6 + -11y = 0 Solving 6 + -11y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -11y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11y = 0 + -6 -11y = 0 + -6 Combine like terms: 0 + -6 = -6 -11y = -6 Divide each side by '-11'. y = 0.5454545455 Simplifying y = 0.5454545455Solution
y = {-2, 0.5454545455}
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