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Simplifying 400 + 0.1x2 + -0.2x = 0 Reorder the terms: 400 + -0.2x + 0.1x2 = 0 Solving 400 + -0.2x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 4000 + -2x + x2 = 0 Move the constant term to the right: Add '-4000' to each side of the equation. 4000 + -2x + -4000 + x2 = 0 + -4000 Reorder the terms: 4000 + -4000 + -2x + x2 = 0 + -4000 Combine like terms: 4000 + -4000 = 0 0 + -2x + x2 = 0 + -4000 -2x + x2 = 0 + -4000 Combine like terms: 0 + -4000 = -4000 -2x + x2 = -4000 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -4000 + 1 Reorder the terms: 1 + -2x + x2 = -4000 + 1 Combine like terms: -4000 + 1 = -3999 1 + -2x + x2 = -3999 Factor a perfect square on the left side: (x + -1)(x + -1) = -3999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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