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Simplifying -6x2 + 4 + 5x + -14 + -10x2 = 0 Reorder the terms: 4 + -14 + 5x + -6x2 + -10x2 = 0 Combine like terms: 4 + -14 = -10 -10 + 5x + -6x2 + -10x2 = 0 Combine like terms: -6x2 + -10x2 = -16x2 -10 + 5x + -16x2 = 0 Solving -10 + 5x + -16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.625 + -0.3125x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.3125x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.3125x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.3125x + x2 = 0 + -0.625 -0.3125x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.3125x + x2 = -0.625 The x term is -0.3125x. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125x + 0.0244140625 + x2 = -0.625 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125x + x2 = -0.625 + 0.0244140625 Combine like terms: -0.625 + 0.0244140625 = -0.6005859375 0.0244140625 + -0.3125x + x2 = -0.6005859375 Factor a perfect square on the left side: (x + -0.15625)(x + -0.15625) = -0.6005859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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