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Simplifying (-7x2 + 5) + -1(12x2 + -5x + 8) = 0 Reorder the terms: (5 + -7x2) + -1(12x2 + -5x + 8) = 0 Remove parenthesis around (5 + -7x2) 5 + -7x2 + -1(12x2 + -5x + 8) = 0 Reorder the terms: 5 + -7x2 + -1(8 + -5x + 12x2) = 0 5 + -7x2 + (8 * -1 + -5x * -1 + 12x2 * -1) = 0 5 + -7x2 + (-8 + 5x + -12x2) = 0 Reorder the terms: 5 + -8 + 5x + -7x2 + -12x2 = 0 Combine like terms: 5 + -8 = -3 -3 + 5x + -7x2 + -12x2 = 0 Combine like terms: -7x2 + -12x2 = -19x2 -3 + 5x + -19x2 = 0 Solving -3 + 5x + -19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -19 the coefficient of the squared term: Divide each side by '-19'. 0.1578947368 + -0.2631578947x + x2 = 0 Move the constant term to the right: Add '-0.1578947368' to each side of the equation. 0.1578947368 + -0.2631578947x + -0.1578947368 + x2 = 0 + -0.1578947368 Reorder the terms: 0.1578947368 + -0.1578947368 + -0.2631578947x + x2 = 0 + -0.1578947368 Combine like terms: 0.1578947368 + -0.1578947368 = 0.0000000000 0.0000000000 + -0.2631578947x + x2 = 0 + -0.1578947368 -0.2631578947x + x2 = 0 + -0.1578947368 Combine like terms: 0 + -0.1578947368 = -0.1578947368 -0.2631578947x + x2 = -0.1578947368 The x term is -0.2631578947x. Take half its coefficient (-0.1315789474). Square it (0.01731301940) and add it to both sides. Add '0.01731301940' to each side of the equation. -0.2631578947x + 0.01731301940 + x2 = -0.1578947368 + 0.01731301940 Reorder the terms: 0.01731301940 + -0.2631578947x + x2 = -0.1578947368 + 0.01731301940 Combine like terms: -0.1578947368 + 0.01731301940 = -0.1405817174 0.01731301940 + -0.2631578947x + x2 = -0.1405817174 Factor a perfect square on the left side: (x + -0.1315789474)(x + -0.1315789474) = -0.1405817174 Can't calculate square root of the right side. The solution to this equation could not be determined.
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