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Simplifying 9x3 + 33x2 + 63x = 0 Reorder the terms: 63x + 33x2 + 9x3 = 0 Solving 63x + 33x2 + 9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(21 + 11x + 3x2) = 0 Ignore the factor 3.Subproblem 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 '(21 + 11x + 3x2)' equal to zero and attempt to solve: Simplifying 21 + 11x + 3x2 = 0 Solving 21 + 11x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7 + 3.666666667x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 3.666666667x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 3.666666667x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3.666666667x + x2 = 0 + -7 3.666666667x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 3.666666667x + x2 = -7 The x term is 3.666666667x. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667x + 3.361111114 + x2 = -7 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667x + x2 = -7 + 3.361111114 Combine like terms: -7 + 3.361111114 = -3.638888886 3.361111114 + 3.666666667x + x2 = -3.638888886 Factor a perfect square on the left side: (x + 1.833333334)(x + 1.833333334) = -3.638888886 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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