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Simplifying x3 + -100x2 + 3125x = 0 Reorder the terms: 3125x + -100x2 + x3 = 0 Solving 3125x + -100x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3125 + -100x + x2) = 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 '(3125 + -100x + x2)' equal to zero and attempt to solve: Simplifying 3125 + -100x + x2 = 0 Solving 3125 + -100x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3125' to each side of the equation. 3125 + -100x + -3125 + x2 = 0 + -3125 Reorder the terms: 3125 + -3125 + -100x + x2 = 0 + -3125 Combine like terms: 3125 + -3125 = 0 0 + -100x + x2 = 0 + -3125 -100x + x2 = 0 + -3125 Combine like terms: 0 + -3125 = -3125 -100x + x2 = -3125 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -3125 + 2500 Reorder the terms: 2500 + -100x + x2 = -3125 + 2500 Combine like terms: -3125 + 2500 = -625 2500 + -100x + x2 = -625 Factor a perfect square on the left side: (x + -50)(x + -50) = -625 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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