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Simplifying 12x5 + 36x7 + 72x9 = 0 Solving 12x5 + 36x7 + 72x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x5'. 12x5(1 + 3x2 + 6x4) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(1 + 3x2 + 6x4)' equal to zero and attempt to solve: Simplifying 1 + 3x2 + 6x4 = 0 Solving 1 + 3x2 + 6x4 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.1666666667 + 0.5x2 + x4 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + 0.5x2 + -0.1666666667 + x4 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + 0.5x2 + x4 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + 0.5x2 + x4 = 0 + -0.1666666667 0.5x2 + x4 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 0.5x2 + x4 = -0.1666666667 The x term is 0.5x2. 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. 0.5x2 + 0.0625 + x4 = -0.1666666667 + 0.0625 Reorder the terms: 0.0625 + 0.5x2 + x4 = -0.1666666667 + 0.0625 Combine like terms: -0.1666666667 + 0.0625 = -0.1041666667 0.0625 + 0.5x2 + x4 = -0.1041666667 Factor a perfect square on the left side: (x2 + 0.25)(x2 + 0.25) = -0.1041666667 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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