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Simplifying 14x2 + 5x = -6 Reorder the terms: 5x + 14x2 = -6 Solving 5x + 14x2 = -6 Solving for variable 'x'. Reorder the terms: 6 + 5x + 14x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 5x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.4285714286 + 0.3571428571x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.3571428571x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.3571428571x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.3571428571x + x2 = 0 + -0.4285714286 0.3571428571x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.3571428571x + x2 = -0.4285714286 The x term is 0.3571428571x. Take half its coefficient (0.1785714286). Square it (0.03188775511) and add it to both sides. Add '0.03188775511' to each side of the equation. 0.3571428571x + 0.03188775511 + x2 = -0.4285714286 + 0.03188775511 Reorder the terms: 0.03188775511 + 0.3571428571x + x2 = -0.4285714286 + 0.03188775511 Combine like terms: -0.4285714286 + 0.03188775511 = -0.39668367349 0.03188775511 + 0.3571428571x + x2 = -0.39668367349 Factor a perfect square on the left side: (x + 0.1785714286)(x + 0.1785714286) = -0.39668367349 Can't calculate square root of the right side. The solution to this equation could not be determined.
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