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Simplifying x2 + 441 + -21x + x2 = 225 Reorder the terms: 441 + -21x + x2 + x2 = 225 Combine like terms: x2 + x2 = 2x2 441 + -21x + 2x2 = 225 Solving 441 + -21x + 2x2 = 225 Solving for variable 'x'. Reorder the terms: 441 + -225 + -21x + 2x2 = 225 + -225 Combine like terms: 441 + -225 = 216 216 + -21x + 2x2 = 225 + -225 Combine like terms: 225 + -225 = 0 216 + -21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 108 + -10.5x + x2 = 0 Move the constant term to the right: Add '-108' to each side of the equation. 108 + -10.5x + -108 + x2 = 0 + -108 Reorder the terms: 108 + -108 + -10.5x + x2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -10.5x + x2 = 0 + -108 -10.5x + x2 = 0 + -108 Combine like terms: 0 + -108 = -108 -10.5x + x2 = -108 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 = -108 + 27.5625 Reorder the terms: 27.5625 + -10.5x + x2 = -108 + 27.5625 Combine like terms: -108 + 27.5625 = -80.4375 27.5625 + -10.5x + x2 = -80.4375 Factor a perfect square on the left side: (x + -5.25)(x + -5.25) = -80.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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