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Simplifying 16x5 + -8x4 + 9x3 = 0 Reorder the terms: 9x3 + -8x4 + 16x5 = 0 Solving 9x3 + -8x4 + 16x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(9 + -8x + 16x2) = 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 '(9 + -8x + 16x2)' equal to zero and attempt to solve: Simplifying 9 + -8x + 16x2 = 0 Solving 9 + -8x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.5625 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + -0.5x + -0.5625 + x2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + -0.5x + x2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + -0.5x + x2 = 0 + -0.5625 -0.5x + x2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 -0.5x + x2 = -0.5625 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.5625 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.5625 + 0.0625 Combine like terms: -0.5625 + 0.0625 = -0.5 0.0625 + -0.5x + x2 = -0.5 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.5 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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