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Simplifying 2x2 + -0.25x = -0.53 Reorder the terms: -0.25x + 2x2 = -0.53 Solving -0.25x + 2x2 = -0.53 Solving for variable 'x'. Reorder the terms: 0.53 + -0.25x + 2x2 = -0.53 + 0.53 Combine like terms: -0.53 + 0.53 = 0.00 0.53 + -0.25x + 2x2 = 0.00 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.265 + -0.125x + x2 = 0.00 Move the constant term to the right: Add '-0.265' to each side of the equation. 0.265 + -0.125x + -0.265 + x2 = 0.00 + -0.265 Reorder the terms: 0.265 + -0.265 + -0.125x + x2 = 0.00 + -0.265 Combine like terms: 0.265 + -0.265 = 0.000 0.000 + -0.125x + x2 = 0.00 + -0.265 -0.125x + x2 = 0.00 + -0.265 Combine like terms: 0.00 + -0.265 = -0.265 -0.125x + x2 = -0.265 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -0.265 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -0.265 + 0.00390625 Combine like terms: -0.265 + 0.00390625 = -0.26109375 0.00390625 + -0.125x + x2 = -0.26109375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -0.26109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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