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Simplifying 2x2 + -240x + 8000 = 0 Reorder the terms: 8000 + -240x + 2x2 = 0 Solving 8000 + -240x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(4000 + -120x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4000 + -120x + x2)' equal to zero and attempt to solve: Simplifying 4000 + -120x + x2 = 0 Solving 4000 + -120x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4000' to each side of the equation. 4000 + -120x + -4000 + x2 = 0 + -4000 Reorder the terms: 4000 + -4000 + -120x + x2 = 0 + -4000 Combine like terms: 4000 + -4000 = 0 0 + -120x + x2 = 0 + -4000 -120x + x2 = 0 + -4000 Combine like terms: 0 + -4000 = -4000 -120x + x2 = -4000 The x term is -120x. Take half its coefficient (-60). Square it (3600) and add it to both sides. Add '3600' to each side of the equation. -120x + 3600 + x2 = -4000 + 3600 Reorder the terms: 3600 + -120x + x2 = -4000 + 3600 Combine like terms: -4000 + 3600 = -400 3600 + -120x + x2 = -400 Factor a perfect square on the left side: (x + -60)(x + -60) = -400 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. The solution to this equation could not be determined.
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