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Simplifying 72x9 + 15x6 + 9x3 = 0 Reorder the terms: 9x3 + 15x6 + 72x9 = 0 Solving 9x3 + 15x6 + 72x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(3 + 5x3 + 24x6) = 0 Ignore the factor 3.Subproblem 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 '(3 + 5x3 + 24x6)' equal to zero and attempt to solve: Simplifying 3 + 5x3 + 24x6 = 0 Solving 3 + 5x3 + 24x6 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.125 + 0.2083333333x3 + x6 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.2083333333x3 + -0.125 + x6 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.2083333333x3 + x6 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.2083333333x3 + x6 = 0 + -0.125 0.2083333333x3 + x6 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.2083333333x3 + x6 = -0.125 The x term is 0.2083333333x3. Take half its coefficient (0.1041666667). Square it (0.01085069445) and add it to both sides. Add '0.01085069445' to each side of the equation. 0.2083333333x3 + 0.01085069445 + x6 = -0.125 + 0.01085069445 Reorder the terms: 0.01085069445 + 0.2083333333x3 + x6 = -0.125 + 0.01085069445 Combine like terms: -0.125 + 0.01085069445 = -0.11414930555 0.01085069445 + 0.2083333333x3 + x6 = -0.11414930555 Factor a perfect square on the left side: (x3 + 0.1041666667)(x3 + 0.1041666667) = -0.11414930555 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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