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Simplifying 0.003x2 + -0.450x + 16.9 = 0 Reorder the terms: 16.9 + -0.450x + 0.003x2 = 0 Solving 16.9 + -0.450x + 0.003x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.003 the coefficient of the squared term: Divide each side by '0.003'. 5633.333333 + -150x + x2 = 0 Move the constant term to the right: Add '-5633.333333' to each side of the equation. 5633.333333 + -150x + -5633.333333 + x2 = 0 + -5633.333333 Reorder the terms: 5633.333333 + -5633.333333 + -150x + x2 = 0 + -5633.333333 Combine like terms: 5633.333333 + -5633.333333 = 0.000000 0.000000 + -150x + x2 = 0 + -5633.333333 -150x + x2 = 0 + -5633.333333 Combine like terms: 0 + -5633.333333 = -5633.333333 -150x + x2 = -5633.333333 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 = -5633.333333 + 5625 Reorder the terms: 5625 + -150x + x2 = -5633.333333 + 5625 Combine like terms: -5633.333333 + 5625 = -8.333333 5625 + -150x + x2 = -8.333333 Factor a perfect square on the left side: (x + -75)(x + -75) = -8.333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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