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Simplifying 2y2 + y + 9y2 + -10 = 0 Reorder the terms: -10 + y + 2y2 + 9y2 = 0 Combine like terms: 2y2 + 9y2 = 11y2 -10 + y + 11y2 = 0 Solving -10 + y + 11y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(10 + -11y) = 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 '(10 + -11y)' equal to zero and attempt to solve: Simplifying 10 + -11y = 0 Solving 10 + -11y = 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 + -11y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11y = 0 + -10 -11y = 0 + -10 Combine like terms: 0 + -10 = -10 -11y = -10 Divide each side by '-11'. y = 0.9090909091 Simplifying y = 0.9090909091Solution
y = {-1, 0.9090909091}
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