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Simplifying (8x2 + x + -2) + -1(x2 + 2x + -3) = 0 Reorder the terms: (-2 + x + 8x2) + -1(x2 + 2x + -3) = 0 Remove parenthesis around (-2 + x + 8x2) -2 + x + 8x2 + -1(x2 + 2x + -3) = 0 Reorder the terms: -2 + x + 8x2 + -1(-3 + 2x + x2) = 0 -2 + x + 8x2 + (-3 * -1 + 2x * -1 + x2 * -1) = 0 -2 + x + 8x2 + (3 + -2x + -1x2) = 0 Reorder the terms: -2 + 3 + x + -2x + 8x2 + -1x2 = 0 Combine like terms: -2 + 3 = 1 1 + x + -2x + 8x2 + -1x2 = 0 Combine like terms: x + -2x = -1x 1 + -1x + 8x2 + -1x2 = 0 Combine like terms: 8x2 + -1x2 = 7x2 1 + -1x + 7x2 = 0 Solving 1 + -1x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.1428571429x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.1428571429x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.1428571429x + x2 = 0 + -0.1428571429 -0.1428571429x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.1428571429x + x2 = -0.1428571429 The x term is -0.1428571429x. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429x + 0.005102040819 + x2 = -0.1428571429 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -0.1428571429 + 0.005102040819 Combine like terms: -0.1428571429 + 0.005102040819 = -0.137755102081 0.005102040819 + -0.1428571429x + x2 = -0.137755102081 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -0.137755102081 Can't calculate square root of the right side. The solution to this equation could not be determined.
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