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Simplifying 0 = x2 + -60x + 7200 Reorder the terms: 0 = 7200 + -60x + x2 Solving 0 = 7200 + -60x + x2 Solving for variable 'x'. Combine like terms: 0 + -7200 = -7200 -7200 + 60x + -1x2 = 7200 + -60x + x2 + -7200 + 60x + -1x2 Reorder the terms: -7200 + 60x + -1x2 = 7200 + -7200 + -60x + 60x + x2 + -1x2 Combine like terms: 7200 + -7200 = 0 -7200 + 60x + -1x2 = 0 + -60x + 60x + x2 + -1x2 -7200 + 60x + -1x2 = -60x + 60x + x2 + -1x2 Combine like terms: -60x + 60x = 0 -7200 + 60x + -1x2 = 0 + x2 + -1x2 -7200 + 60x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7200 + 60x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7200 + -60x + x2 = 0 Move the constant term to the right: Add '-7200' to each side of the equation. 7200 + -60x + -7200 + x2 = 0 + -7200 Reorder the terms: 7200 + -7200 + -60x + x2 = 0 + -7200 Combine like terms: 7200 + -7200 = 0 0 + -60x + x2 = 0 + -7200 -60x + x2 = 0 + -7200 Combine like terms: 0 + -7200 = -7200 -60x + x2 = -7200 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 = -7200 + 900 Reorder the terms: 900 + -60x + x2 = -7200 + 900 Combine like terms: -7200 + 900 = -6300 900 + -60x + x2 = -6300 Factor a perfect square on the left side: (x + -30)(x + -30) = -6300 Can't calculate square root of the right side. The solution to this equation could not be determined.
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