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Simplifying 2x3 + -36x2 + 192x = 0 Reorder the terms: 192x + -36x2 + 2x3 = 0 Solving 192x + -36x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(96 + -18x + x2) = 0 Ignore the factor 2.Subproblem 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 '(96 + -18x + x2)' equal to zero and attempt to solve: Simplifying 96 + -18x + x2 = 0 Solving 96 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-96' to each side of the equation. 96 + -18x + -96 + x2 = 0 + -96 Reorder the terms: 96 + -96 + -18x + x2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -18x + x2 = 0 + -96 -18x + x2 = 0 + -96 Combine like terms: 0 + -96 = -96 -18x + x2 = -96 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 = -96 + 81 Reorder the terms: 81 + -18x + x2 = -96 + 81 Combine like terms: -96 + 81 = -15 81 + -18x + x2 = -15 Factor a perfect square on the left side: (x + -9)(x + -9) = -15 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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