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Simplifying -0.008x2 + 2x + -50 = 80 Reorder the terms: -50 + 2x + -0.008x2 = 80 Solving -50 + 2x + -0.008x2 = 80 Solving for variable 'x'. Reorder the terms: -50 + -80 + 2x + -0.008x2 = 80 + -80 Combine like terms: -50 + -80 = -130 -130 + 2x + -0.008x2 = 80 + -80 Combine like terms: 80 + -80 = 0 -130 + 2x + -0.008x2 = 0 Begin completing the square. Divide all terms by -0.008 the coefficient of the squared term: Divide each side by '-0.008'. 16250 + -250x + x2 = 0 Move the constant term to the right: Add '-16250' to each side of the equation. 16250 + -250x + -16250 + x2 = 0 + -16250 Reorder the terms: 16250 + -16250 + -250x + x2 = 0 + -16250 Combine like terms: 16250 + -16250 = 0 0 + -250x + x2 = 0 + -16250 -250x + x2 = 0 + -16250 Combine like terms: 0 + -16250 = -16250 -250x + x2 = -16250 The x term is -250x. Take half its coefficient (-125). Square it (15625) and add it to both sides. Add '15625' to each side of the equation. -250x + 15625 + x2 = -16250 + 15625 Reorder the terms: 15625 + -250x + x2 = -16250 + 15625 Combine like terms: -16250 + 15625 = -625 15625 + -250x + x2 = -625 Factor a perfect square on the left side: (x + -125)(x + -125) = -625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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