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Simplifying 7x(7x) + -6x + 4 = 0 Remove parenthesis around (7x) 7x * 7x + -6x + 4 = 0 Reorder the terms for easier multiplication: 7 * 7x * x + -6x + 4 = 0 Multiply 7 * 7 49x * x + -6x + 4 = 0 Multiply x * x 49x2 + -6x + 4 = 0 Reorder the terms: 4 + -6x + 49x2 = 0 Solving 4 + -6x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.08163265306 + -0.1224489796x + x2 = 0 Move the constant term to the right: Add '-0.08163265306' to each side of the equation. 0.08163265306 + -0.1224489796x + -0.08163265306 + x2 = 0 + -0.08163265306 Reorder the terms: 0.08163265306 + -0.08163265306 + -0.1224489796x + x2 = 0 + -0.08163265306 Combine like terms: 0.08163265306 + -0.08163265306 = 0.00000000000 0.00000000000 + -0.1224489796x + x2 = 0 + -0.08163265306 -0.1224489796x + x2 = 0 + -0.08163265306 Combine like terms: 0 + -0.08163265306 = -0.08163265306 -0.1224489796x + x2 = -0.08163265306 The x term is -0.1224489796x. Take half its coefficient (-0.0612244898). Square it (0.003748438151) and add it to both sides. Add '0.003748438151' to each side of the equation. -0.1224489796x + 0.003748438151 + x2 = -0.08163265306 + 0.003748438151 Reorder the terms: 0.003748438151 + -0.1224489796x + x2 = -0.08163265306 + 0.003748438151 Combine like terms: -0.08163265306 + 0.003748438151 = -0.077884214909 0.003748438151 + -0.1224489796x + x2 = -0.077884214909 Factor a perfect square on the left side: (x + -0.0612244898)(x + -0.0612244898) = -0.077884214909 Can't calculate square root of the right side. The solution to this equation could not be determined.
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