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Simplifying 4.9x2 + 10x + 20 = 0 Reorder the terms: 20 + 10x + 4.9x2 = 0 Solving 20 + 10x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 4.081632653 + 2.040816327x + x2 = 0 Move the constant term to the right: Add '-4.081632653' to each side of the equation. 4.081632653 + 2.040816327x + -4.081632653 + x2 = 0 + -4.081632653 Reorder the terms: 4.081632653 + -4.081632653 + 2.040816327x + x2 = 0 + -4.081632653 Combine like terms: 4.081632653 + -4.081632653 = 0.000000000 0.000000000 + 2.040816327x + x2 = 0 + -4.081632653 2.040816327x + x2 = 0 + -4.081632653 Combine like terms: 0 + -4.081632653 = -4.081632653 2.040816327x + x2 = -4.081632653 The x term is 2.040816327x. Take half its coefficient (1.020408164). Square it (1.041232821) and add it to both sides. Add '1.041232821' to each side of the equation. 2.040816327x + 1.041232821 + x2 = -4.081632653 + 1.041232821 Reorder the terms: 1.041232821 + 2.040816327x + x2 = -4.081632653 + 1.041232821 Combine like terms: -4.081632653 + 1.041232821 = -3.040399832 1.041232821 + 2.040816327x + x2 = -3.040399832 Factor a perfect square on the left side: (x + 1.020408164)(x + 1.020408164) = -3.040399832 Can't calculate square root of the right side. The solution to this equation could not be determined.
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