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Simplifying x3 + -27x2 + 240x = 0 Reorder the terms: 240x + -27x2 + x3 = 0 Solving 240x + -27x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(240 + -27x + 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 '(240 + -27x + x2)' equal to zero and attempt to solve: Simplifying 240 + -27x + x2 = 0 Solving 240 + -27x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-240' to each side of the equation. 240 + -27x + -240 + x2 = 0 + -240 Reorder the terms: 240 + -240 + -27x + x2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -27x + x2 = 0 + -240 -27x + x2 = 0 + -240 Combine like terms: 0 + -240 = -240 -27x + x2 = -240 The x term is -27x. Take half its coefficient (-13.5). Square it (182.25) and add it to both sides. Add '182.25' to each side of the equation. -27x + 182.25 + x2 = -240 + 182.25 Reorder the terms: 182.25 + -27x + x2 = -240 + 182.25 Combine like terms: -240 + 182.25 = -57.75 182.25 + -27x + x2 = -57.75 Factor a perfect square on the left side: (x + -13.5)(x + -13.5) = -57.75 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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