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Simplifying 60 = -16x2 + 13x Reorder the terms: 60 = 13x + -16x2 Solving 60 = 13x + -16x2 Solving for variable 'x'. Reorder the terms: 60 + -13x + 16x2 = 13x + -13x + -16x2 + 16x2 Combine like terms: 13x + -13x = 0 60 + -13x + 16x2 = 0 + -16x2 + 16x2 60 + -13x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 60 + -13x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.75 + -0.8125x + x2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -0.8125x + -3.75 + x2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -0.8125x + x2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -0.8125x + x2 = 0 + -3.75 -0.8125x + x2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -0.8125x + x2 = -3.75 The x term is -0.8125x. Take half its coefficient (-0.40625). Square it (0.1650390625) and add it to both sides. Add '0.1650390625' to each side of the equation. -0.8125x + 0.1650390625 + x2 = -3.75 + 0.1650390625 Reorder the terms: 0.1650390625 + -0.8125x + x2 = -3.75 + 0.1650390625 Combine like terms: -3.75 + 0.1650390625 = -3.5849609375 0.1650390625 + -0.8125x + x2 = -3.5849609375 Factor a perfect square on the left side: (x + -0.40625)(x + -0.40625) = -3.5849609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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