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Simplifying 8x2 + -65x = -484 Reorder the terms: -65x + 8x2 = -484 Solving -65x + 8x2 = -484 Solving for variable 'x'. Reorder the terms: 484 + -65x + 8x2 = -484 + 484 Combine like terms: -484 + 484 = 0 484 + -65x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 60.5 + -8.125x + x2 = 0 Move the constant term to the right: Add '-60.5' to each side of the equation. 60.5 + -8.125x + -60.5 + x2 = 0 + -60.5 Reorder the terms: 60.5 + -60.5 + -8.125x + x2 = 0 + -60.5 Combine like terms: 60.5 + -60.5 = 0.0 0.0 + -8.125x + x2 = 0 + -60.5 -8.125x + x2 = 0 + -60.5 Combine like terms: 0 + -60.5 = -60.5 -8.125x + x2 = -60.5 The x term is -8.125x. Take half its coefficient (-4.0625). Square it (16.50390625) and add it to both sides. Add '16.50390625' to each side of the equation. -8.125x + 16.50390625 + x2 = -60.5 + 16.50390625 Reorder the terms: 16.50390625 + -8.125x + x2 = -60.5 + 16.50390625 Combine like terms: -60.5 + 16.50390625 = -43.99609375 16.50390625 + -8.125x + x2 = -43.99609375 Factor a perfect square on the left side: (x + -4.0625)(x + -4.0625) = -43.99609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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