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Simplifying 0 = 3x2 + -3x + 5 Reorder the terms: 0 = 5 + -3x + 3x2 Solving 0 = 5 + -3x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -5 = -5 -5 + 3x + -3x2 = 5 + -3x + 3x2 + -5 + 3x + -3x2 Reorder the terms: -5 + 3x + -3x2 = 5 + -5 + -3x + 3x + 3x2 + -3x2 Combine like terms: 5 + -5 = 0 -5 + 3x + -3x2 = 0 + -3x + 3x + 3x2 + -3x2 -5 + 3x + -3x2 = -3x + 3x + 3x2 + -3x2 Combine like terms: -3x + 3x = 0 -5 + 3x + -3x2 = 0 + 3x2 + -3x2 -5 + 3x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -5 + 3x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.666666667 + -1x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -1x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -1x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.666666667 -1x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -1x + x2 = -1.666666667 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 = -1.666666667 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.666666667 + 0.25 Combine like terms: -1.666666667 + 0.25 = -1.416666667 0.25 + -1x + x2 = -1.416666667 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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