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Simplifying 2x2 + -21x + 480 = 0 Reorder the terms: 480 + -21x + 2x2 = 0 Solving 480 + -21x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 240 + -10.5x + x2 = 0 Move the constant term to the right: Add '-240' to each side of the equation. 240 + -10.5x + -240 + x2 = 0 + -240 Reorder the terms: 240 + -240 + -10.5x + x2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -10.5x + x2 = 0 + -240 -10.5x + x2 = 0 + -240 Combine like terms: 0 + -240 = -240 -10.5x + x2 = -240 The x term is -10.5x. Take half its coefficient (-5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. -10.5x + 27.5625 + x2 = -240 + 27.5625 Reorder the terms: 27.5625 + -10.5x + x2 = -240 + 27.5625 Combine like terms: -240 + 27.5625 = -212.4375 27.5625 + -10.5x + x2 = -212.4375 Factor a perfect square on the left side: (x + -5.25)(x + -5.25) = -212.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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