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Simplifying (12x2 + -5x + 9) + -1(7x2 + -11x + 5) = 0 Reorder the terms: (9 + -5x + 12x2) + -1(7x2 + -11x + 5) = 0 Remove parenthesis around (9 + -5x + 12x2) 9 + -5x + 12x2 + -1(7x2 + -11x + 5) = 0 Reorder the terms: 9 + -5x + 12x2 + -1(5 + -11x + 7x2) = 0 9 + -5x + 12x2 + (5 * -1 + -11x * -1 + 7x2 * -1) = 0 9 + -5x + 12x2 + (-5 + 11x + -7x2) = 0 Reorder the terms: 9 + -5 + -5x + 11x + 12x2 + -7x2 = 0 Combine like terms: 9 + -5 = 4 4 + -5x + 11x + 12x2 + -7x2 = 0 Combine like terms: -5x + 11x = 6x 4 + 6x + 12x2 + -7x2 = 0 Combine like terms: 12x2 + -7x2 = 5x2 4 + 6x + 5x2 = 0 Solving 4 + 6x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 1.2x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 1.2x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 1.2x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.2x + x2 = 0 + -0.8 1.2x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1.2x + x2 = -0.8 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -0.8 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -0.8 + 0.36 Combine like terms: -0.8 + 0.36 = -0.44 0.36 + 1.2x + x2 = -0.44 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -0.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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