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Simplifying 8x5 + -3x4 + 15x3 = 0 Reorder the terms: 15x3 + -3x4 + 8x5 = 0 Solving 15x3 + -3x4 + 8x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(15 + -3x + 8x2) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(15 + -3x + 8x2)' equal to zero and attempt to solve: Simplifying 15 + -3x + 8x2 = 0 Solving 15 + -3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + -0.375x + x2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -0.375x + -1.875 + x2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -0.375x + x2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -0.375x + x2 = 0 + -1.875 -0.375x + x2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -0.375x + x2 = -1.875 The x term is -0.375x. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x + 0.03515625 + x2 = -1.875 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -1.875 + 0.03515625 Combine like terms: -1.875 + 0.03515625 = -1.83984375 0.03515625 + -0.375x + x2 = -1.83984375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -1.83984375 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. The solution to this equation could not be determined.
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