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Simplifying 11x3 + 18x2 + 9x = 0 Reorder the terms: 9x + 18x2 + 11x3 = 0 Solving 9x + 18x2 + 11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 18x + 11x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + 18x + 11x2)' equal to zero and attempt to solve: Simplifying 9 + 18x + 11x2 = 0 Solving 9 + 18x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + 1.636363636x + x2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + 1.636363636x + -0.8181818182 + x2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + 1.636363636x + x2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + 1.636363636x + x2 = 0 + -0.8181818182 1.636363636x + x2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 1.636363636x + x2 = -0.8181818182 The x term is 1.636363636x. Take half its coefficient (0.818181818). Square it (0.6694214873) and add it to both sides. Add '0.6694214873' to each side of the equation. 1.636363636x + 0.6694214873 + x2 = -0.8181818182 + 0.6694214873 Reorder the terms: 0.6694214873 + 1.636363636x + x2 = -0.8181818182 + 0.6694214873 Combine like terms: -0.8181818182 + 0.6694214873 = -0.1487603309 0.6694214873 + 1.636363636x + x2 = -0.1487603309 Factor a perfect square on the left side: (x + 0.818181818)(x + 0.818181818) = -0.1487603309 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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