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Simplifying 13x3 + 16x2 + 14x = 0 Reorder the terms: 14x + 16x2 + 13x3 = 0 Solving 14x + 16x2 + 13x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 16x + 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 '(14 + 16x + 13x2)' equal to zero and attempt to solve: Simplifying 14 + 16x + 13x2 = 0 Solving 14 + 16x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.076923077 + 1.230769231x + x2 = 0 Move the constant term to the right: Add '-1.076923077' to each side of the equation. 1.076923077 + 1.230769231x + -1.076923077 + x2 = 0 + -1.076923077 Reorder the terms: 1.076923077 + -1.076923077 + 1.230769231x + x2 = 0 + -1.076923077 Combine like terms: 1.076923077 + -1.076923077 = 0.000000000 0.000000000 + 1.230769231x + x2 = 0 + -1.076923077 1.230769231x + x2 = 0 + -1.076923077 Combine like terms: 0 + -1.076923077 = -1.076923077 1.230769231x + x2 = -1.076923077 The x term is 1.230769231x. Take half its coefficient (0.6153846155). Square it (0.3786982250) and add it to both sides. Add '0.3786982250' to each side of the equation. 1.230769231x + 0.3786982250 + x2 = -1.076923077 + 0.3786982250 Reorder the terms: 0.3786982250 + 1.230769231x + x2 = -1.076923077 + 0.3786982250 Combine like terms: -1.076923077 + 0.3786982250 = -0.698224852 0.3786982250 + 1.230769231x + x2 = -0.698224852 Factor a perfect square on the left side: (x + 0.6153846155)(x + 0.6153846155) = -0.698224852 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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