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Simplifying (6x2 + -3x + -6) + -1(-7x2 + 3x + -8) = 0 Reorder the terms: (-6 + -3x + 6x2) + -1(-7x2 + 3x + -8) = 0 Remove parenthesis around (-6 + -3x + 6x2) -6 + -3x + 6x2 + -1(-7x2 + 3x + -8) = 0 Reorder the terms: -6 + -3x + 6x2 + -1(-8 + 3x + -7x2) = 0 -6 + -3x + 6x2 + (-8 * -1 + 3x * -1 + -7x2 * -1) = 0 -6 + -3x + 6x2 + (8 + -3x + 7x2) = 0 Reorder the terms: -6 + 8 + -3x + -3x + 6x2 + 7x2 = 0 Combine like terms: -6 + 8 = 2 2 + -3x + -3x + 6x2 + 7x2 = 0 Combine like terms: -3x + -3x = -6x 2 + -6x + 6x2 + 7x2 = 0 Combine like terms: 6x2 + 7x2 = 13x2 2 + -6x + 13x2 = 0 Solving 2 + -6x + 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'. 0.1538461538 + -0.4615384615x + x2 = 0 Move the constant term to the right: Add '-0.1538461538' to each side of the equation. 0.1538461538 + -0.4615384615x + -0.1538461538 + x2 = 0 + -0.1538461538 Reorder the terms: 0.1538461538 + -0.1538461538 + -0.4615384615x + x2 = 0 + -0.1538461538 Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000 0.0000000000 + -0.4615384615x + x2 = 0 + -0.1538461538 -0.4615384615x + x2 = 0 + -0.1538461538 Combine like terms: 0 + -0.1538461538 = -0.1538461538 -0.4615384615x + x2 = -0.1538461538 The x term is -0.4615384615x. Take half its coefficient (-0.2307692308). Square it (0.05325443788) and add it to both sides. Add '0.05325443788' to each side of the equation. -0.4615384615x + 0.05325443788 + x2 = -0.1538461538 + 0.05325443788 Reorder the terms: 0.05325443788 + -0.4615384615x + x2 = -0.1538461538 + 0.05325443788 Combine like terms: -0.1538461538 + 0.05325443788 = -0.10059171592 0.05325443788 + -0.4615384615x + x2 = -0.10059171592 Factor a perfect square on the left side: (x + -0.2307692308)(x + -0.2307692308) = -0.10059171592 Can't calculate square root of the right side. The solution to this equation could not be determined.
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