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Simplifying -3x2 = -3x + 11 Reorder the terms: -3x2 = 11 + -3x Solving -3x2 = 11 + -3x Solving for variable 'x'. Reorder the terms: -11 + 3x + -3x2 = 11 + -3x + -11 + 3x Reorder the terms: -11 + 3x + -3x2 = 11 + -11 + -3x + 3x Combine like terms: 11 + -11 = 0 -11 + 3x + -3x2 = 0 + -3x + 3x -11 + 3x + -3x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 3x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3.666666667 + -1x + x2 = 0 Move the constant term to the right: Add '-3.666666667' to each side of the equation. 3.666666667 + -1x + -3.666666667 + x2 = 0 + -3.666666667 Reorder the terms: 3.666666667 + -3.666666667 + -1x + x2 = 0 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + -1x + x2 = 0 + -3.666666667 -1x + x2 = 0 + -3.666666667 Combine like terms: 0 + -3.666666667 = -3.666666667 -1x + x2 = -3.666666667 The x term is -1x. 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. -1x + 0.25 + x2 = -3.666666667 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -3.666666667 + 0.25 Combine like terms: -3.666666667 + 0.25 = -3.416666667 0.25 + -1x + x2 = -3.416666667 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -3.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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