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Simplifying 2x = 4x + -3x2 + -12 Reorder the terms: 2x = -12 + 4x + -3x2 Solving 2x = -12 + 4x + -3x2 Solving for variable 'x'. Reorder the terms: 12 + 2x + -4x + 3x2 = -12 + 4x + -3x2 + 12 + -4x + 3x2 Combine like terms: 2x + -4x = -2x 12 + -2x + 3x2 = -12 + 4x + -3x2 + 12 + -4x + 3x2 Reorder the terms: 12 + -2x + 3x2 = -12 + 12 + 4x + -4x + -3x2 + 3x2 Combine like terms: -12 + 12 = 0 12 + -2x + 3x2 = 0 + 4x + -4x + -3x2 + 3x2 12 + -2x + 3x2 = 4x + -4x + -3x2 + 3x2 Combine like terms: 4x + -4x = 0 12 + -2x + 3x2 = 0 + -3x2 + 3x2 12 + -2x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 12 + -2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.6666666667x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -0.6666666667x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.6666666667x + x2 = 0 + -4 -0.6666666667x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.6666666667x + x2 = -4 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -4 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -4 + 0.1111111112 Combine like terms: -4 + 0.1111111112 = -3.8888888888 0.1111111112 + -0.6666666667x + x2 = -3.8888888888 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -3.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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