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Simplifying -0.03x2 + 4x + -8400 = 0 Reorder the terms: -8400 + 4x + -0.03x2 = 0 Solving -8400 + 4x + -0.03x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.03 the coefficient of the squared term: Divide each side by '-0.03'. 280000 + -133.3333333x + x2 = 0 Move the constant term to the right: Add '-280000' to each side of the equation. 280000 + -133.3333333x + -280000 + x2 = 0 + -280000 Reorder the terms: 280000 + -280000 + -133.3333333x + x2 = 0 + -280000 Combine like terms: 280000 + -280000 = 0 0 + -133.3333333x + x2 = 0 + -280000 -133.3333333x + x2 = 0 + -280000 Combine like terms: 0 + -280000 = -280000 -133.3333333x + x2 = -280000 The x term is -133.3333333x. Take half its coefficient (-66.66666665). Square it (4444.444442) and add it to both sides. Add '4444.444442' to each side of the equation. -133.3333333x + 4444.444442 + x2 = -280000 + 4444.444442 Reorder the terms: 4444.444442 + -133.3333333x + x2 = -280000 + 4444.444442 Combine like terms: -280000 + 4444.444442 = -275555.555558 4444.444442 + -133.3333333x + x2 = -275555.555558 Factor a perfect square on the left side: (x + -66.66666665)(x + -66.66666665) = -275555.555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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