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Simplifying 330 = -0.002x2 + 0.66x Reorder the terms: 330 = 0.66x + -0.002x2 Solving 330 = 0.66x + -0.002x2 Solving for variable 'x'. Reorder the terms: 330 + -0.66x + 0.002x2 = 0.66x + -0.66x + -0.002x2 + 0.002x2 Combine like terms: 0.66x + -0.66x = 0.00 330 + -0.66x + 0.002x2 = 0.00 + -0.002x2 + 0.002x2 330 + -0.66x + 0.002x2 = -0.002x2 + 0.002x2 Combine like terms: -0.002x2 + 0.002x2 = 0.000 330 + -0.66x + 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'. 165000 + -330x + x2 = 0 Move the constant term to the right: Add '-165000' to each side of the equation. 165000 + -330x + -165000 + x2 = 0 + -165000 Reorder the terms: 165000 + -165000 + -330x + x2 = 0 + -165000 Combine like terms: 165000 + -165000 = 0 0 + -330x + x2 = 0 + -165000 -330x + x2 = 0 + -165000 Combine like terms: 0 + -165000 = -165000 -330x + x2 = -165000 The x term is -330x. Take half its coefficient (-165). Square it (27225) and add it to both sides. Add '27225' to each side of the equation. -330x + 27225 + x2 = -165000 + 27225 Reorder the terms: 27225 + -330x + x2 = -165000 + 27225 Combine like terms: -165000 + 27225 = -137775 27225 + -330x + x2 = -137775 Factor a perfect square on the left side: (x + -165)(x + -165) = -137775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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