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Simplifying 0 = 4.9x2 + -50x + 200 Reorder the terms: 0 = 200 + -50x + 4.9x2 Solving 0 = 200 + -50x + 4.9x2 Solving for variable 'x'. Combine like terms: 0 + -200 = -200 -200 + 50x + -4.9x2 = 200 + -50x + 4.9x2 + -200 + 50x + -4.9x2 Reorder the terms: -200 + 50x + -4.9x2 = 200 + -200 + -50x + 50x + 4.9x2 + -4.9x2 Combine like terms: 200 + -200 = 0 -200 + 50x + -4.9x2 = 0 + -50x + 50x + 4.9x2 + -4.9x2 -200 + 50x + -4.9x2 = -50x + 50x + 4.9x2 + -4.9x2 Combine like terms: -50x + 50x = 0 -200 + 50x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -200 + 50x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -200 + 50x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 40.81632653 + -10.20408163x + x2 = 0 Move the constant term to the right: Add '-40.81632653' to each side of the equation. 40.81632653 + -10.20408163x + -40.81632653 + x2 = 0 + -40.81632653 Reorder the terms: 40.81632653 + -40.81632653 + -10.20408163x + x2 = 0 + -40.81632653 Combine like terms: 40.81632653 + -40.81632653 = 0.00000000 0.00000000 + -10.20408163x + x2 = 0 + -40.81632653 -10.20408163x + x2 = 0 + -40.81632653 Combine like terms: 0 + -40.81632653 = -40.81632653 -10.20408163x + x2 = -40.81632653 The x term is -10.20408163x. Take half its coefficient (-5.102040815). Square it (26.03082048) and add it to both sides. Add '26.03082048' to each side of the equation. -10.20408163x + 26.03082048 + x2 = -40.81632653 + 26.03082048 Reorder the terms: 26.03082048 + -10.20408163x + x2 = -40.81632653 + 26.03082048 Combine like terms: -40.81632653 + 26.03082048 = -14.78550605 26.03082048 + -10.20408163x + x2 = -14.78550605 Factor a perfect square on the left side: (x + -5.102040815)(x + -5.102040815) = -14.78550605 Can't calculate square root of the right side. The solution to this equation could not be determined.
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