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Simplifying -0.01x2 + 0.4x + -20 = 0 Reorder the terms: -20 + 0.4x + -0.01x2 = 0 Solving -20 + 0.4x + -0.01x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.01 the coefficient of the squared term: Divide each side by '-0.01'. 2000 + -40x + x2 = 0 Move the constant term to the right: Add '-2000' to each side of the equation. 2000 + -40x + -2000 + x2 = 0 + -2000 Reorder the terms: 2000 + -2000 + -40x + x2 = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -40x + x2 = 0 + -2000 -40x + x2 = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -40x + x2 = -2000 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -2000 + 400 Reorder the terms: 400 + -40x + x2 = -2000 + 400 Combine like terms: -2000 + 400 = -1600 400 + -40x + x2 = -1600 Factor a perfect square on the left side: (x + -20)(x + -20) = -1600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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