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Simplifying 5.2x + -12.7 = 9.8x2 Reorder the terms: -12.7 + 5.2x = 9.8x2 Solving -12.7 + 5.2x = 9.8x2 Solving for variable 'x'. Combine like terms: 9.8x2 + -9.8x2 = 0.0 -12.7 + 5.2x + -9.8x2 = 0.0 Begin completing the square. Divide all terms by -9.8 the coefficient of the squared term: Divide each side by '-9.8'. 1.295918367 + -0.5306122449x + x2 = 0 Move the constant term to the right: Add '-1.295918367' to each side of the equation. 1.295918367 + -0.5306122449x + -1.295918367 + x2 = 0 + -1.295918367 Reorder the terms: 1.295918367 + -1.295918367 + -0.5306122449x + x2 = 0 + -1.295918367 Combine like terms: 1.295918367 + -1.295918367 = 0.000000000 0.000000000 + -0.5306122449x + x2 = 0 + -1.295918367 -0.5306122449x + x2 = 0 + -1.295918367 Combine like terms: 0 + -1.295918367 = -1.295918367 -0.5306122449x + x2 = -1.295918367 The x term is -0.5306122449x. Take half its coefficient (-0.2653061225). Square it (0.07038733864) and add it to both sides. Add '0.07038733864' to each side of the equation. -0.5306122449x + 0.07038733864 + x2 = -1.295918367 + 0.07038733864 Reorder the terms: 0.07038733864 + -0.5306122449x + x2 = -1.295918367 + 0.07038733864 Combine like terms: -1.295918367 + 0.07038733864 = -1.22553102836 0.07038733864 + -0.5306122449x + x2 = -1.22553102836 Factor a perfect square on the left side: (x + -0.2653061225)(x + -0.2653061225) = -1.22553102836 Can't calculate square root of the right side. The solution to this equation could not be determined.
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