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Simplifying 3x5 + -25x3 + 60x = 0 Reorder the terms: 60x + -25x3 + 3x5 = 0 Solving 60x + -25x3 + 3x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(60 + -25x2 + 3x4) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(60 + -25x2 + 3x4)' equal to zero and attempt to solve: Simplifying 60 + -25x2 + 3x4 = 0 Solving 60 + -25x2 + 3x4 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 20 + -8.333333333x2 + x4 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8.333333333x2 + -20 + x4 = 0 + -20 Reorder the terms: 20 + -20 + -8.333333333x2 + x4 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8.333333333x2 + x4 = 0 + -20 -8.333333333x2 + x4 = 0 + -20 Combine like terms: 0 + -20 = -20 -8.333333333x2 + x4 = -20 The x term is -8.333333333x2. Take half its coefficient (-4.166666667). Square it (17.36111111) and add it to both sides. Add '17.36111111' to each side of the equation. -8.333333333x2 + 17.36111111 + x4 = -20 + 17.36111111 Reorder the terms: 17.36111111 + -8.333333333x2 + x4 = -20 + 17.36111111 Combine like terms: -20 + 17.36111111 = -2.63888889 17.36111111 + -8.333333333x2 + x4 = -2.63888889 Factor a perfect square on the left side: (x2 + -4.166666667)(x2 + -4.166666667) = -2.63888889 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.Solution
x = {0}
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