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Simplifying 8x3 + 13x2 + 15x = 0 Reorder the terms: 15x + 13x2 + 8x3 = 0 Solving 15x + 13x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + 13x + 8x2) = 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 '(15 + 13x + 8x2)' equal to zero and attempt to solve: Simplifying 15 + 13x + 8x2 = 0 Solving 15 + 13x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + 1.625x + x2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + 1.625x + -1.875 + x2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + 1.625x + x2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + 1.625x + x2 = 0 + -1.875 1.625x + x2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 1.625x + x2 = -1.875 The x term is 1.625x. Take half its coefficient (0.8125). Square it (0.66015625) and add it to both sides. Add '0.66015625' to each side of the equation. 1.625x + 0.66015625 + x2 = -1.875 + 0.66015625 Reorder the terms: 0.66015625 + 1.625x + x2 = -1.875 + 0.66015625 Combine like terms: -1.875 + 0.66015625 = -1.21484375 0.66015625 + 1.625x + x2 = -1.21484375 Factor a perfect square on the left side: (x + 0.8125)(x + 0.8125) = -1.21484375 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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