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Simplifying x3 + -18x2 + 105x = 0 Reorder the terms: 105x + -18x2 + x3 = 0 Solving 105x + -18x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(105 + -18x + 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 '(105 + -18x + x2)' equal to zero and attempt to solve: Simplifying 105 + -18x + x2 = 0 Solving 105 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-105' to each side of the equation. 105 + -18x + -105 + x2 = 0 + -105 Reorder the terms: 105 + -105 + -18x + x2 = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -18x + x2 = 0 + -105 -18x + x2 = 0 + -105 Combine like terms: 0 + -105 = -105 -18x + x2 = -105 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -105 + 81 Reorder the terms: 81 + -18x + x2 = -105 + 81 Combine like terms: -105 + 81 = -24 81 + -18x + x2 = -24 Factor a perfect square on the left side: (x + -9)(x + -9) = -24 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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