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Simplifying (9x + 1)(9x + -1) + -7x(2x + -4) + 5 = 0 Reorder the terms: (1 + 9x)(9x + -1) + -7x(2x + -4) + 5 = 0 Reorder the terms: (1 + 9x)(-1 + 9x) + -7x(2x + -4) + 5 = 0 Multiply (1 + 9x) * (-1 + 9x) (1(-1 + 9x) + 9x * (-1 + 9x)) + -7x(2x + -4) + 5 = 0 ((-1 * 1 + 9x * 1) + 9x * (-1 + 9x)) + -7x(2x + -4) + 5 = 0 ((-1 + 9x) + 9x * (-1 + 9x)) + -7x(2x + -4) + 5 = 0 (-1 + 9x + (-1 * 9x + 9x * 9x)) + -7x(2x + -4) + 5 = 0 (-1 + 9x + (-9x + 81x2)) + -7x(2x + -4) + 5 = 0 Combine like terms: 9x + -9x = 0 (-1 + 0 + 81x2) + -7x(2x + -4) + 5 = 0 (-1 + 81x2) + -7x(2x + -4) + 5 = 0 Reorder the terms: -1 + 81x2 + -7x(-4 + 2x) + 5 = 0 -1 + 81x2 + (-4 * -7x + 2x * -7x) + 5 = 0 -1 + 81x2 + (28x + -14x2) + 5 = 0 Reorder the terms: -1 + 5 + 28x + 81x2 + -14x2 = 0 Combine like terms: -1 + 5 = 4 4 + 28x + 81x2 + -14x2 = 0 Combine like terms: 81x2 + -14x2 = 67x2 4 + 28x + 67x2 = 0 Solving 4 + 28x + 67x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 67 the coefficient of the squared term: Divide each side by '67'. 0.05970149254 + 0.4179104478x + x2 = 0 Move the constant term to the right: Add '-0.05970149254' to each side of the equation. 0.05970149254 + 0.4179104478x + -0.05970149254 + x2 = 0 + -0.05970149254 Reorder the terms: 0.05970149254 + -0.05970149254 + 0.4179104478x + x2 = 0 + -0.05970149254 Combine like terms: 0.05970149254 + -0.05970149254 = 0.00000000000 0.00000000000 + 0.4179104478x + x2 = 0 + -0.05970149254 0.4179104478x + x2 = 0 + -0.05970149254 Combine like terms: 0 + -0.05970149254 = -0.05970149254 0.4179104478x + x2 = -0.05970149254 The x term is 0.4179104478x. Take half its coefficient (0.2089552239). Square it (0.04366228560) and add it to both sides. Add '0.04366228560' to each side of the equation. 0.4179104478x + 0.04366228560 + x2 = -0.05970149254 + 0.04366228560 Reorder the terms: 0.04366228560 + 0.4179104478x + x2 = -0.05970149254 + 0.04366228560 Combine like terms: -0.05970149254 + 0.04366228560 = -0.01603920694 0.04366228560 + 0.4179104478x + x2 = -0.01603920694 Factor a perfect square on the left side: (x + 0.2089552239)(x + 0.2089552239) = -0.01603920694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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