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Simplifying (16x2 + -14x + 20) + -1(-7x2 + -3x + 6) = 0 Reorder the terms: (20 + -14x + 16x2) + -1(-7x2 + -3x + 6) = 0 Remove parenthesis around (20 + -14x + 16x2) 20 + -14x + 16x2 + -1(-7x2 + -3x + 6) = 0 Reorder the terms: 20 + -14x + 16x2 + -1(6 + -3x + -7x2) = 0 20 + -14x + 16x2 + (6 * -1 + -3x * -1 + -7x2 * -1) = 0 20 + -14x + 16x2 + (-6 + 3x + 7x2) = 0 Reorder the terms: 20 + -6 + -14x + 3x + 16x2 + 7x2 = 0 Combine like terms: 20 + -6 = 14 14 + -14x + 3x + 16x2 + 7x2 = 0 Combine like terms: -14x + 3x = -11x 14 + -11x + 16x2 + 7x2 = 0 Combine like terms: 16x2 + 7x2 = 23x2 14 + -11x + 23x2 = 0 Solving 14 + -11x + 23x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 0.6086956522 + -0.4782608696x + x2 = 0 Move the constant term to the right: Add '-0.6086956522' to each side of the equation. 0.6086956522 + -0.4782608696x + -0.6086956522 + x2 = 0 + -0.6086956522 Reorder the terms: 0.6086956522 + -0.6086956522 + -0.4782608696x + x2 = 0 + -0.6086956522 Combine like terms: 0.6086956522 + -0.6086956522 = 0.0000000000 0.0000000000 + -0.4782608696x + x2 = 0 + -0.6086956522 -0.4782608696x + x2 = 0 + -0.6086956522 Combine like terms: 0 + -0.6086956522 = -0.6086956522 -0.4782608696x + x2 = -0.6086956522 The x term is -0.4782608696x. Take half its coefficient (-0.2391304348). Square it (0.05718336485) and add it to both sides. Add '0.05718336485' to each side of the equation. -0.4782608696x + 0.05718336485 + x2 = -0.6086956522 + 0.05718336485 Reorder the terms: 0.05718336485 + -0.4782608696x + x2 = -0.6086956522 + 0.05718336485 Combine like terms: -0.6086956522 + 0.05718336485 = -0.55151228735 0.05718336485 + -0.4782608696x + x2 = -0.55151228735 Factor a perfect square on the left side: (x + -0.2391304348)(x + -0.2391304348) = -0.55151228735 Can't calculate square root of the right side. The solution to this equation could not be determined.
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