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Simplifying -6x2 = -1x + 8 Reorder the terms: -6x2 = 8 + -1x Solving -6x2 = 8 + -1x Solving for variable 'x'. Reorder the terms: -8 + x + -6x2 = 8 + -1x + -8 + x Reorder the terms: -8 + x + -6x2 = 8 + -8 + -1x + x Combine like terms: 8 + -8 = 0 -8 + x + -6x2 = 0 + -1x + x -8 + x + -6x2 = -1x + x Combine like terms: -1x + x = 0 -8 + x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 1.333333333 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -0.1666666667x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -0.1666666667x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -0.1666666667x + x2 = 0 + -1.333333333 -0.1666666667x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -0.1666666667x + x2 = -1.333333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.1666666667x + 0.25 + x2 = -1.333333333 + 0.25 Reorder the terms: 0.25 + -0.1666666667x + x2 = -1.333333333 + 0.25 Combine like terms: -1.333333333 + 0.25 = -1.083333333 0.25 + -0.1666666667x + x2 = -1.083333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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