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Simplifying 11x2 + 100x + 9 = 0 Reorder the terms: 9 + 100x + 11x2 = 0 Solving 9 + 100x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(1 + 11x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + 11x)' equal to zero and attempt to solve: Simplifying 1 + 11x = 0 Solving 1 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 0 + -1 11x = 0 + -1 Combine like terms: 0 + -1 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091Solution
x = {-9, -0.09090909091}
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