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Simplifying 35x7 + 25x5 + 15x3 = 0 Reorder the terms: 15x3 + 25x5 + 35x7 = 0 Solving 15x3 + 25x5 + 35x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x3'. 5x3(3 + 5x2 + 7x4) = 0 Ignore the factor 5.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 + 5x2 + 7x4)' equal to zero and attempt to solve: Simplifying 3 + 5x2 + 7x4 = 0 Solving 3 + 5x2 + 7x4 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 0.7142857143x2 + x4 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.7142857143x2 + -0.4285714286 + x4 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.7142857143x2 + x4 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.7142857143x2 + x4 = 0 + -0.4285714286 0.7142857143x2 + x4 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.7142857143x2 + x4 = -0.4285714286 The x term is 0.7142857143x2. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143x2 + 0.1275510204 + x4 = -0.4285714286 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x2 + x4 = -0.4285714286 + 0.1275510204 Combine like terms: -0.4285714286 + 0.1275510204 = -0.3010204082 0.1275510204 + 0.7142857143x2 + x4 = -0.3010204082 Factor a perfect square on the left side: (x2 + 0.3571428572)(x2 + 0.3571428572) = -0.3010204082 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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