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Simplifying 15x6 + -13x5 + 17x4 = 0 Reorder the terms: 17x4 + -13x5 + 15x6 = 0 Solving 17x4 + -13x5 + 15x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(17 + -13x + 15x2) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(17 + -13x + 15x2)' equal to zero and attempt to solve: Simplifying 17 + -13x + 15x2 = 0 Solving 17 + -13x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.133333333 + -0.8666666667x + x2 = 0 Move the constant term to the right: Add '-1.133333333' to each side of the equation. 1.133333333 + -0.8666666667x + -1.133333333 + x2 = 0 + -1.133333333 Reorder the terms: 1.133333333 + -1.133333333 + -0.8666666667x + x2 = 0 + -1.133333333 Combine like terms: 1.133333333 + -1.133333333 = 0.000000000 0.000000000 + -0.8666666667x + x2 = 0 + -1.133333333 -0.8666666667x + x2 = 0 + -1.133333333 Combine like terms: 0 + -1.133333333 = -1.133333333 -0.8666666667x + x2 = -1.133333333 The x term is -0.8666666667x. Take half its coefficient (-0.4333333334). Square it (0.1877777778) and add it to both sides. Add '0.1877777778' to each side of the equation. -0.8666666667x + 0.1877777778 + x2 = -1.133333333 + 0.1877777778 Reorder the terms: 0.1877777778 + -0.8666666667x + x2 = -1.133333333 + 0.1877777778 Combine like terms: -1.133333333 + 0.1877777778 = -0.9455555552 0.1877777778 + -0.8666666667x + x2 = -0.9455555552 Factor a perfect square on the left side: (x + -0.4333333334)(x + -0.4333333334) = -0.9455555552 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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