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Simplifying 18x + 11x2 + 2x3 = 0 Solving 18x + 11x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 11x + 2x2) = 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 '(18 + 11x + 2x2)' equal to zero and attempt to solve: Simplifying 18 + 11x + 2x2 = 0 Solving 18 + 11x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + 5.5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5.5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 5.5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5.5x + x2 = 0 + -9 5.5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 5.5x + x2 = -9 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -9 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -9 + 7.5625 Combine like terms: -9 + 7.5625 = -1.4375 7.5625 + 5.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = -1.4375 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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