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Simplifying 60000 = 360x + -3x2 Solving 60000 = 360x + -3x2 Solving for variable 'x'. Reorder the terms: 60000 + -360x + 3x2 = 360x + -360x + -3x2 + 3x2 Combine like terms: 360x + -360x = 0 60000 + -360x + 3x2 = 0 + -3x2 + 3x2 60000 + -360x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 60000 + -360x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(20000 + -120x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(20000 + -120x + x2)' equal to zero and attempt to solve: Simplifying 20000 + -120x + x2 = 0 Solving 20000 + -120x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20000' to each side of the equation. 20000 + -120x + -20000 + x2 = 0 + -20000 Reorder the terms: 20000 + -20000 + -120x + x2 = 0 + -20000 Combine like terms: 20000 + -20000 = 0 0 + -120x + x2 = 0 + -20000 -120x + x2 = 0 + -20000 Combine like terms: 0 + -20000 = -20000 -120x + x2 = -20000 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 = -20000 + 3600 Reorder the terms: 3600 + -120x + x2 = -20000 + 3600 Combine like terms: -20000 + 3600 = -16400 3600 + -120x + x2 = -16400 Factor a perfect square on the left side: (x + -60)(x + -60) = -16400 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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