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Simplifying (5x2 + 8x + 9) + -1(-9x2 + -3x + -4) = 0 Reorder the terms: (9 + 8x + 5x2) + -1(-9x2 + -3x + -4) = 0 Remove parenthesis around (9 + 8x + 5x2) 9 + 8x + 5x2 + -1(-9x2 + -3x + -4) = 0 Reorder the terms: 9 + 8x + 5x2 + -1(-4 + -3x + -9x2) = 0 9 + 8x + 5x2 + (-4 * -1 + -3x * -1 + -9x2 * -1) = 0 9 + 8x + 5x2 + (4 + 3x + 9x2) = 0 Reorder the terms: 9 + 4 + 8x + 3x + 5x2 + 9x2 = 0 Combine like terms: 9 + 4 = 13 13 + 8x + 3x + 5x2 + 9x2 = 0 Combine like terms: 8x + 3x = 11x 13 + 11x + 5x2 + 9x2 = 0 Combine like terms: 5x2 + 9x2 = 14x2 13 + 11x + 14x2 = 0 Solving 13 + 11x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.9285714286 + 0.7857142857x + x2 = 0 Move the constant term to the right: Add '-0.9285714286' to each side of the equation. 0.9285714286 + 0.7857142857x + -0.9285714286 + x2 = 0 + -0.9285714286 Reorder the terms: 0.9285714286 + -0.9285714286 + 0.7857142857x + x2 = 0 + -0.9285714286 Combine like terms: 0.9285714286 + -0.9285714286 = 0.0000000000 0.0000000000 + 0.7857142857x + x2 = 0 + -0.9285714286 0.7857142857x + x2 = 0 + -0.9285714286 Combine like terms: 0 + -0.9285714286 = -0.9285714286 0.7857142857x + x2 = -0.9285714286 The x term is 0.7857142857x. Take half its coefficient (0.3928571429). Square it (0.1543367347) and add it to both sides. Add '0.1543367347' to each side of the equation. 0.7857142857x + 0.1543367347 + x2 = -0.9285714286 + 0.1543367347 Reorder the terms: 0.1543367347 + 0.7857142857x + x2 = -0.9285714286 + 0.1543367347 Combine like terms: -0.9285714286 + 0.1543367347 = -0.7742346939 0.1543367347 + 0.7857142857x + x2 = -0.7742346939 Factor a perfect square on the left side: (x + 0.3928571429)(x + 0.3928571429) = -0.7742346939 Can't calculate square root of the right side. The solution to this equation could not be determined.
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