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Simplifying 50 = 20x + -4.9x2 Solving 50 = 20x + -4.9x2 Solving for variable 'x'. Reorder the terms: 50 + -20x + 4.9x2 = 20x + -20x + -4.9x2 + 4.9x2 Combine like terms: 20x + -20x = 0 50 + -20x + 4.9x2 = 0 + -4.9x2 + 4.9x2 50 + -20x + 4.9x2 = -4.9x2 + 4.9x2 Combine like terms: -4.9x2 + 4.9x2 = 0.0 50 + -20x + 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'. 10.20408163 + -4.081632653x + x2 = 0 Move the constant term to the right: Add '-10.20408163' to each side of the equation. 10.20408163 + -4.081632653x + -10.20408163 + x2 = 0 + -10.20408163 Reorder the terms: 10.20408163 + -10.20408163 + -4.081632653x + x2 = 0 + -10.20408163 Combine like terms: 10.20408163 + -10.20408163 = 0.00000000 0.00000000 + -4.081632653x + x2 = 0 + -10.20408163 -4.081632653x + x2 = 0 + -10.20408163 Combine like terms: 0 + -10.20408163 = -10.20408163 -4.081632653x + x2 = -10.20408163 The x term is -4.081632653x. Take half its coefficient (-2.040816327). Square it (4.164931281) and add it to both sides. Add '4.164931281' to each side of the equation. -4.081632653x + 4.164931281 + x2 = -10.20408163 + 4.164931281 Reorder the terms: 4.164931281 + -4.081632653x + x2 = -10.20408163 + 4.164931281 Combine like terms: -10.20408163 + 4.164931281 = -6.039150349 4.164931281 + -4.081632653x + x2 = -6.039150349 Factor a perfect square on the left side: (x + -2.040816327)(x + -2.040816327) = -6.039150349 Can't calculate square root of the right side. The solution to this equation could not be determined.
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