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Simplifying 0.0003x2 + 0.1x + 20 = 0 Reorder the terms: 20 + 0.1x + 0.0003x2 = 0 Solving 20 + 0.1x + 0.0003x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0003 the coefficient of the squared term: Divide each side by '0.0003'. 66666.66667 + 333.3333333x + x2 = 0 Move the constant term to the right: Add '-66666.66667' to each side of the equation. 66666.66667 + 333.3333333x + -66666.66667 + x2 = 0 + -66666.66667 Reorder the terms: 66666.66667 + -66666.66667 + 333.3333333x + x2 = 0 + -66666.66667 Combine like terms: 66666.66667 + -66666.66667 = 0.00000 0.00000 + 333.3333333x + x2 = 0 + -66666.66667 333.3333333x + x2 = 0 + -66666.66667 Combine like terms: 0 + -66666.66667 = -66666.66667 333.3333333x + x2 = -66666.66667 The x term is 333.3333333x. Take half its coefficient (166.6666667). Square it (27777.77779) and add it to both sides. Add '27777.77779' to each side of the equation. 333.3333333x + 27777.77779 + x2 = -66666.66667 + 27777.77779 Reorder the terms: 27777.77779 + 333.3333333x + x2 = -66666.66667 + 27777.77779 Combine like terms: -66666.66667 + 27777.77779 = -38888.88888 27777.77779 + 333.3333333x + x2 = -38888.88888 Factor a perfect square on the left side: (x + 166.6666667)(x + 166.6666667) = -38888.88888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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