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Simplifying 10x2 + -49x + 72 = 0 Reorder the terms: 72 + -49x + 10x2 = 0 Solving 72 + -49x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 7.2 + -4.9x + x2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + -4.9x + -7.2 + x2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + -4.9x + x2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -4.9x + x2 = 0 + -7.2 -4.9x + x2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 -4.9x + x2 = -7.2 The x term is -4.9x. Take half its coefficient (-2.45). Square it (6.0025) and add it to both sides. Add '6.0025' to each side of the equation. -4.9x + 6.0025 + x2 = -7.2 + 6.0025 Reorder the terms: 6.0025 + -4.9x + x2 = -7.2 + 6.0025 Combine like terms: -7.2 + 6.0025 = -1.1975 6.0025 + -4.9x + x2 = -1.1975 Factor a perfect square on the left side: (x + -2.45)(x + -2.45) = -1.1975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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