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Simplifying (7X2 + 4X + -8) + (6X2 + -2X + 9) = 0 Reorder the terms: (-8 + 4X + 7X2) + (6X2 + -2X + 9) = 0 Remove parenthesis around (-8 + 4X + 7X2) -8 + 4X + 7X2 + (6X2 + -2X + 9) = 0 Reorder the terms: -8 + 4X + 7X2 + (9 + -2X + 6X2) = 0 Remove parenthesis around (9 + -2X + 6X2) -8 + 4X + 7X2 + 9 + -2X + 6X2 = 0 Reorder the terms: -8 + 9 + 4X + -2X + 7X2 + 6X2 = 0 Combine like terms: -8 + 9 = 1 1 + 4X + -2X + 7X2 + 6X2 = 0 Combine like terms: 4X + -2X = 2X 1 + 2X + 7X2 + 6X2 = 0 Combine like terms: 7X2 + 6X2 = 13X2 1 + 2X + 13X2 = 0 Solving 1 + 2X + 13X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.07692307692 + 0.1538461538X + X2 = 0 Move the constant term to the right: Add '-0.07692307692' to each side of the equation. 0.07692307692 + 0.1538461538X + -0.07692307692 + X2 = 0 + -0.07692307692 Reorder the terms: 0.07692307692 + -0.07692307692 + 0.1538461538X + X2 = 0 + -0.07692307692 Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000 0.00000000000 + 0.1538461538X + X2 = 0 + -0.07692307692 0.1538461538X + X2 = 0 + -0.07692307692 Combine like terms: 0 + -0.07692307692 = -0.07692307692 0.1538461538X + X2 = -0.07692307692 The X term is 0.1538461538X. Take half its coefficient (0.0769230769). Square it (0.005917159760) and add it to both sides. Add '0.005917159760' to each side of the equation. 0.1538461538X + 0.005917159760 + X2 = -0.07692307692 + 0.005917159760 Reorder the terms: 0.005917159760 + 0.1538461538X + X2 = -0.07692307692 + 0.005917159760 Combine like terms: -0.07692307692 + 0.005917159760 = -0.07100591716 0.005917159760 + 0.1538461538X + X2 = -0.07100591716 Factor a perfect square on the left side: (X + 0.0769230769)(X + 0.0769230769) = -0.07100591716 Can't calculate square root of the right side. The solution to this equation could not be determined.
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