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Simplifying x(13x2 + 13x + 12) = 0 Reorder the terms: x(12 + 13x + 13x2) = 0 (12 * x + 13x * x + 13x2 * x) = 0 (12x + 13x2 + 13x3) = 0 Solving 12x + 13x2 + 13x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(12 + 13x + 13x2) = 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 '(12 + 13x + 13x2)' equal to zero and attempt to solve: Simplifying 12 + 13x + 13x2 = 0 Solving 12 + 13x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.9230769231 + x + x2 = 0 Move the constant term to the right: Add '-0.9230769231' to each side of the equation. 0.9230769231 + x + -0.9230769231 + x2 = 0 + -0.9230769231 Reorder the terms: 0.9230769231 + -0.9230769231 + x + x2 = 0 + -0.9230769231 Combine like terms: 0.9230769231 + -0.9230769231 = 0.0000000000 0.0000000000 + x + x2 = 0 + -0.9230769231 x + x2 = 0 + -0.9230769231 Combine like terms: 0 + -0.9230769231 = -0.9230769231 x + x2 = -0.9230769231 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -0.9230769231 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -0.9230769231 + 0.25 Combine like terms: -0.9230769231 + 0.25 = -0.6730769231 1.25 + x2 = -0.6730769231 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.6730769231 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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