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Simplifying x3 + -6x2 + 25x = 0 Reorder the terms: 25x + -6x2 + x3 = 0 Solving 25x + -6x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(25 + -6x + 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 '(25 + -6x + x2)' equal to zero and attempt to solve: Simplifying 25 + -6x + x2 = 0 Solving 25 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -6x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -6x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6x + x2 = 0 + -25 -6x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -6x + x2 = -25 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -25 + 9 Reorder the terms: 9 + -6x + x2 = -25 + 9 Combine like terms: -25 + 9 = -16 9 + -6x + x2 = -16 Factor a perfect square on the left side: (x + -3)(x + -3) = -16 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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