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Simplifying -3x2 = -4x + 6 Reorder the terms: -3x2 = 6 + -4x Solving -3x2 = 6 + -4x Solving for variable 'x'. Reorder the terms: -6 + 4x + -3x2 = 6 + -4x + -6 + 4x Reorder the terms: -6 + 4x + -3x2 = 6 + -6 + -4x + 4x Combine like terms: 6 + -6 = 0 -6 + 4x + -3x2 = 0 + -4x + 4x -6 + 4x + -3x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.333333333x + x2 = 0 + -2 -1.333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.333333333x + x2 = -2 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -2 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -2 + 0.4444444442 Combine like terms: -2 + 0.4444444442 = -1.5555555558 0.4444444442 + -1.333333333x + x2 = -1.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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