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Simplifying 91x3 + 8x + 9x2 = 0 Reorder the terms: 8x + 9x2 + 91x3 = 0 Solving 8x + 9x2 + 91x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 9x + 91x2) = 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 '(8 + 9x + 91x2)' equal to zero and attempt to solve: Simplifying 8 + 9x + 91x2 = 0 Solving 8 + 9x + 91x2 = 0 Begin completing the square. Divide all terms by 91 the coefficient of the squared term: Divide each side by '91'. 0.08791208791 + 0.0989010989x + x2 = 0 Move the constant term to the right: Add '-0.08791208791' to each side of the equation. 0.08791208791 + 0.0989010989x + -0.08791208791 + x2 = 0 + -0.08791208791 Reorder the terms: 0.08791208791 + -0.08791208791 + 0.0989010989x + x2 = 0 + -0.08791208791 Combine like terms: 0.08791208791 + -0.08791208791 = 0.00000000000 0.00000000000 + 0.0989010989x + x2 = 0 + -0.08791208791 0.0989010989x + x2 = 0 + -0.08791208791 Combine like terms: 0 + -0.08791208791 = -0.08791208791 0.0989010989x + x2 = -0.08791208791 The x term is 0.0989010989x. Take half its coefficient (0.04945054945). Square it (0.002445356841) and add it to both sides. Add '0.002445356841' to each side of the equation. 0.0989010989x + 0.002445356841 + x2 = -0.08791208791 + 0.002445356841 Reorder the terms: 0.002445356841 + 0.0989010989x + x2 = -0.08791208791 + 0.002445356841 Combine like terms: -0.08791208791 + 0.002445356841 = -0.085466731069 0.002445356841 + 0.0989010989x + x2 = -0.085466731069 Factor a perfect square on the left side: (x + 0.04945054945)(x + 0.04945054945) = -0.085466731069 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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