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Simplifying 100 = -0.001x2 + 0.3x Reorder the terms: 100 = 0.3x + -0.001x2 Solving 100 = 0.3x + -0.001x2 Solving for variable 'x'. Reorder the terms: 100 + -0.3x + 0.001x2 = 0.3x + -0.3x + -0.001x2 + 0.001x2 Combine like terms: 0.3x + -0.3x = 0.0 100 + -0.3x + 0.001x2 = 0.0 + -0.001x2 + 0.001x2 100 + -0.3x + 0.001x2 = -0.001x2 + 0.001x2 Combine like terms: -0.001x2 + 0.001x2 = 0.000 100 + -0.3x + 0.001x2 = 0.000 Begin completing the square. Divide all terms by 0.001 the coefficient of the squared term: Divide each side by '0.001'. 100000 + -300x + x2 = 0 Move the constant term to the right: Add '-100000' to each side of the equation. 100000 + -300x + -100000 + x2 = 0 + -100000 Reorder the terms: 100000 + -100000 + -300x + x2 = 0 + -100000 Combine like terms: 100000 + -100000 = 0 0 + -300x + x2 = 0 + -100000 -300x + x2 = 0 + -100000 Combine like terms: 0 + -100000 = -100000 -300x + x2 = -100000 The x term is -300x. Take half its coefficient (-150). Square it (22500) and add it to both sides. Add '22500' to each side of the equation. -300x + 22500 + x2 = -100000 + 22500 Reorder the terms: 22500 + -300x + x2 = -100000 + 22500 Combine like terms: -100000 + 22500 = -77500 22500 + -300x + x2 = -77500 Factor a perfect square on the left side: (x + -150)(x + -150) = -77500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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