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Simplifying 0.05x2 + -4x + 12000 = 0 Reorder the terms: 12000 + -4x + 0.05x2 = 0 Solving 12000 + -4x + 0.05x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.05 the coefficient of the squared term: Divide each side by '0.05'. 240000 + -80x + x2 = 0 Move the constant term to the right: Add '-240000' to each side of the equation. 240000 + -80x + -240000 + x2 = 0 + -240000 Reorder the terms: 240000 + -240000 + -80x + x2 = 0 + -240000 Combine like terms: 240000 + -240000 = 0 0 + -80x + x2 = 0 + -240000 -80x + x2 = 0 + -240000 Combine like terms: 0 + -240000 = -240000 -80x + x2 = -240000 The x term is -80x. Take half its coefficient (-40). Square it (1600) and add it to both sides. Add '1600' to each side of the equation. -80x + 1600 + x2 = -240000 + 1600 Reorder the terms: 1600 + -80x + x2 = -240000 + 1600 Combine like terms: -240000 + 1600 = -238400 1600 + -80x + x2 = -238400 Factor a perfect square on the left side: (x + -40)(x + -40) = -238400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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