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Simplifying 3x3 + 11x = -6x Reorder the terms: 11x + 3x3 = -6x Solving 11x + 3x3 = -6x Solving for variable 'x'. Reorder the terms: 11x + 6x + 3x3 = -6x + 6x Combine like terms: 11x + 6x = 17x 17x + 3x3 = -6x + 6x Combine like terms: -6x + 6x = 0 17x + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 3x2) = 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 '(17 + 3x2)' equal to zero and attempt to solve: Simplifying 17 + 3x2 = 0 Solving 17 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x2 = 0 + -17 3x2 = 0 + -17 Combine like terms: 0 + -17 = -17 3x2 = -17 Divide each side by '3'. x2 = -5.666666667 Simplifying x2 = -5.666666667 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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