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Simplifying x * 2 + -0.2x * 4x + -2400 = 0 Reorder the terms for easier multiplication: 2x + -0.2x * 4x + -2400 = 0 Reorder the terms for easier multiplication: 2x + -0.2 * 4x * x + -2400 = 0 Multiply -0.2 * 4 2x + -0.8x * x + -2400 = 0 Multiply x * x 2x + -0.8x2 + -2400 = 0 Reorder the terms: -2400 + 2x + -0.8x2 = 0 Solving -2400 + 2x + -0.8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.8 the coefficient of the squared term: Divide each side by '-0.8'. 3000 + -2.5x + x2 = 0 Move the constant term to the right: Add '-3000' to each side of the equation. 3000 + -2.5x + -3000 + x2 = 0 + -3000 Reorder the terms: 3000 + -3000 + -2.5x + x2 = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -2.5x + x2 = 0 + -3000 -2.5x + x2 = 0 + -3000 Combine like terms: 0 + -3000 = -3000 -2.5x + x2 = -3000 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -3000 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -3000 + 1.5625 Combine like terms: -3000 + 1.5625 = -2998.4375 1.5625 + -2.5x + x2 = -2998.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -2998.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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