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Simplifying x3 + -15x2 + 140x = 0 Reorder the terms: 140x + -15x2 + x3 = 0 Solving 140x + -15x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(140 + -15x + 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 '(140 + -15x + x2)' equal to zero and attempt to solve: Simplifying 140 + -15x + x2 = 0 Solving 140 + -15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-140' to each side of the equation. 140 + -15x + -140 + x2 = 0 + -140 Reorder the terms: 140 + -140 + -15x + x2 = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -15x + x2 = 0 + -140 -15x + x2 = 0 + -140 Combine like terms: 0 + -140 = -140 -15x + x2 = -140 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -140 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -140 + 56.25 Combine like terms: -140 + 56.25 = -83.75 56.25 + -15x + x2 = -83.75 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -83.75 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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