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Simplifying 0 = x2 + -60x + 905 Reorder the terms: 0 = 905 + -60x + x2 Solving 0 = 905 + -60x + x2 Solving for variable 'x'. Combine like terms: 0 + -905 = -905 -905 + 60x + -1x2 = 905 + -60x + x2 + -905 + 60x + -1x2 Reorder the terms: -905 + 60x + -1x2 = 905 + -905 + -60x + 60x + x2 + -1x2 Combine like terms: 905 + -905 = 0 -905 + 60x + -1x2 = 0 + -60x + 60x + x2 + -1x2 -905 + 60x + -1x2 = -60x + 60x + x2 + -1x2 Combine like terms: -60x + 60x = 0 -905 + 60x + -1x2 = 0 + x2 + -1x2 -905 + 60x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -905 + 60x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 905 + -60x + x2 = 0 Move the constant term to the right: Add '-905' to each side of the equation. 905 + -60x + -905 + x2 = 0 + -905 Reorder the terms: 905 + -905 + -60x + x2 = 0 + -905 Combine like terms: 905 + -905 = 0 0 + -60x + x2 = 0 + -905 -60x + x2 = 0 + -905 Combine like terms: 0 + -905 = -905 -60x + x2 = -905 The x term is -60x. Take half its coefficient (-30). Square it (900) and add it to both sides. Add '900' to each side of the equation. -60x + 900 + x2 = -905 + 900 Reorder the terms: 900 + -60x + x2 = -905 + 900 Combine like terms: -905 + 900 = -5 900 + -60x + x2 = -5 Factor a perfect square on the left side: (x + -30)(x + -30) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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