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Simplifying 40 = x2 + -240x + 14540 Reorder the terms: 40 = 14540 + -240x + x2 Solving 40 = 14540 + -240x + x2 Solving for variable 'x'. Combine like terms: 40 + -14540 = -14500 -14500 + 240x + -1x2 = 14540 + -240x + x2 + -14540 + 240x + -1x2 Reorder the terms: -14500 + 240x + -1x2 = 14540 + -14540 + -240x + 240x + x2 + -1x2 Combine like terms: 14540 + -14540 = 0 -14500 + 240x + -1x2 = 0 + -240x + 240x + x2 + -1x2 -14500 + 240x + -1x2 = -240x + 240x + x2 + -1x2 Combine like terms: -240x + 240x = 0 -14500 + 240x + -1x2 = 0 + x2 + -1x2 -14500 + 240x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14500 + 240x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 14500 + -240x + x2 = 0 Move the constant term to the right: Add '-14500' to each side of the equation. 14500 + -240x + -14500 + x2 = 0 + -14500 Reorder the terms: 14500 + -14500 + -240x + x2 = 0 + -14500 Combine like terms: 14500 + -14500 = 0 0 + -240x + x2 = 0 + -14500 -240x + x2 = 0 + -14500 Combine like terms: 0 + -14500 = -14500 -240x + x2 = -14500 The x term is -240x. Take half its coefficient (-120). Square it (14400) and add it to both sides. Add '14400' to each side of the equation. -240x + 14400 + x2 = -14500 + 14400 Reorder the terms: 14400 + -240x + x2 = -14500 + 14400 Combine like terms: -14500 + 14400 = -100 14400 + -240x + x2 = -100 Factor a perfect square on the left side: (x + -120)(x + -120) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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