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Simplifying 150 = -0.002x2 + 0.3x Reorder the terms: 150 = 0.3x + -0.002x2 Solving 150 = 0.3x + -0.002x2 Solving for variable 'x'. Reorder the terms: 150 + -0.3x + 0.002x2 = 0.3x + -0.3x + -0.002x2 + 0.002x2 Combine like terms: 0.3x + -0.3x = 0.0 150 + -0.3x + 0.002x2 = 0.0 + -0.002x2 + 0.002x2 150 + -0.3x + 0.002x2 = -0.002x2 + 0.002x2 Combine like terms: -0.002x2 + 0.002x2 = 0.000 150 + -0.3x + 0.002x2 = 0.000 Begin completing the square. Divide all terms by 0.002 the coefficient of the squared term: Divide each side by '0.002'. 75000 + -150x + x2 = 0 Move the constant term to the right: Add '-75000' to each side of the equation. 75000 + -150x + -75000 + x2 = 0 + -75000 Reorder the terms: 75000 + -75000 + -150x + x2 = 0 + -75000 Combine like terms: 75000 + -75000 = 0 0 + -150x + x2 = 0 + -75000 -150x + x2 = 0 + -75000 Combine like terms: 0 + -75000 = -75000 -150x + x2 = -75000 The x term is -150x. Take half its coefficient (-75). Square it (5625) and add it to both sides. Add '5625' to each side of the equation. -150x + 5625 + x2 = -75000 + 5625 Reorder the terms: 5625 + -150x + x2 = -75000 + 5625 Combine like terms: -75000 + 5625 = -69375 5625 + -150x + x2 = -69375 Factor a perfect square on the left side: (x + -75)(x + -75) = -69375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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