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Simplifying 5x2 + -22x + 112 = 0 Reorder the terms: 112 + -22x + 5x2 = 0 Solving 112 + -22x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 22.4 + -4.4x + x2 = 0 Move the constant term to the right: Add '-22.4' to each side of the equation. 22.4 + -4.4x + -22.4 + x2 = 0 + -22.4 Reorder the terms: 22.4 + -22.4 + -4.4x + x2 = 0 + -22.4 Combine like terms: 22.4 + -22.4 = 0.0 0.0 + -4.4x + x2 = 0 + -22.4 -4.4x + x2 = 0 + -22.4 Combine like terms: 0 + -22.4 = -22.4 -4.4x + x2 = -22.4 The x term is -4.4x. Take half its coefficient (-2.2). Square it (4.84) and add it to both sides. Add '4.84' to each side of the equation. -4.4x + 4.84 + x2 = -22.4 + 4.84 Reorder the terms: 4.84 + -4.4x + x2 = -22.4 + 4.84 Combine like terms: -22.4 + 4.84 = -17.56 4.84 + -4.4x + x2 = -17.56 Factor a perfect square on the left side: (x + -2.2)(x + -2.2) = -17.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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