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Simplifying 9x5 + -5x4 + 9x3 = 0 Reorder the terms: 9x3 + -5x4 + 9x5 = 0 Solving 9x3 + -5x4 + 9x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(9 + -5x + 9x2) = 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 + -5x + 9x2)' equal to zero and attempt to solve: Simplifying 9 + -5x + 9x2 = 0 Solving 9 + -5x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + -0.5555555556x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5555555556x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5555555556x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5555555556x + x2 = 0 + -1 -0.5555555556x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5555555556x + x2 = -1 The x term is -0.5555555556x. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556x + 0.07716049384 + x2 = -1 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556x + x2 = -1 + 0.07716049384 Combine like terms: -1 + 0.07716049384 = -0.92283950616 0.07716049384 + -0.5555555556x + x2 = -0.92283950616 Factor a perfect square on the left side: (x + -0.2777777778)(x + -0.2777777778) = -0.92283950616 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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