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Simplifying (4x2 + -2x + 8) + -1(x2 + 3x + -2) = 0 Reorder the terms: (8 + -2x + 4x2) + -1(x2 + 3x + -2) = 0 Remove parenthesis around (8 + -2x + 4x2) 8 + -2x + 4x2 + -1(x2 + 3x + -2) = 0 Reorder the terms: 8 + -2x + 4x2 + -1(-2 + 3x + x2) = 0 8 + -2x + 4x2 + (-2 * -1 + 3x * -1 + x2 * -1) = 0 8 + -2x + 4x2 + (2 + -3x + -1x2) = 0 Reorder the terms: 8 + 2 + -2x + -3x + 4x2 + -1x2 = 0 Combine like terms: 8 + 2 = 10 10 + -2x + -3x + 4x2 + -1x2 = 0 Combine like terms: -2x + -3x = -5x 10 + -5x + 4x2 + -1x2 = 0 Combine like terms: 4x2 + -1x2 = 3x2 10 + -5x + 3x2 = 0 Solving 10 + -5x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -1.666666667x + -3.333333333 + x2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -1.666666667x + x2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -1.666666667x + x2 = 0 + -3.333333333 -1.666666667x + x2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -1.666666667x + x2 = -3.333333333 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -3.333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -3.333333333 + 0.6944444447 Combine like terms: -3.333333333 + 0.6944444447 = -2.6388888883 0.6944444447 + -1.666666667x + x2 = -2.6388888883 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -2.6388888883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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