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Simplifying 301000x2 + -301000x + 635000 = 0 Reorder the terms: 635000 + -301000x + 301000x2 = 0 Solving 635000 + -301000x + 301000x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '1000'. 1000(635 + -301x + 301x2) = 0 Ignore the factor 1000.Subproblem 1
Set the factor '(635 + -301x + 301x2)' equal to zero and attempt to solve: Simplifying 635 + -301x + 301x2 = 0 Solving 635 + -301x + 301x2 = 0 Begin completing the square. Divide all terms by 301 the coefficient of the squared term: Divide each side by '301'. 2.109634551 + -1x + x2 = 0 Move the constant term to the right: Add '-2.109634551' to each side of the equation. 2.109634551 + -1x + -2.109634551 + x2 = 0 + -2.109634551 Reorder the terms: 2.109634551 + -2.109634551 + -1x + x2 = 0 + -2.109634551 Combine like terms: 2.109634551 + -2.109634551 = 0.000000000 0.000000000 + -1x + x2 = 0 + -2.109634551 -1x + x2 = 0 + -2.109634551 Combine like terms: 0 + -2.109634551 = -2.109634551 -1x + x2 = -2.109634551 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -2.109634551 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2.109634551 + 0.25 Combine like terms: -2.109634551 + 0.25 = -1.859634551 0.25 + -1x + x2 = -1.859634551 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.859634551 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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