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Simplifying 7x2 + 46x + 80 = 0 Reorder the terms: 80 + 46x + 7x2 = 0 Solving 80 + 46x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 11.42857143 + 6.571428571x + x2 = 0 Move the constant term to the right: Add '-11.42857143' to each side of the equation. 11.42857143 + 6.571428571x + -11.42857143 + x2 = 0 + -11.42857143 Reorder the terms: 11.42857143 + -11.42857143 + 6.571428571x + x2 = 0 + -11.42857143 Combine like terms: 11.42857143 + -11.42857143 = 0.00000000 0.00000000 + 6.571428571x + x2 = 0 + -11.42857143 6.571428571x + x2 = 0 + -11.42857143 Combine like terms: 0 + -11.42857143 = -11.42857143 6.571428571x + x2 = -11.42857143 The x term is 6.571428571x. Take half its coefficient (3.285714286). Square it (10.79591837) and add it to both sides. Add '10.79591837' to each side of the equation. 6.571428571x + 10.79591837 + x2 = -11.42857143 + 10.79591837 Reorder the terms: 10.79591837 + 6.571428571x + x2 = -11.42857143 + 10.79591837 Combine like terms: -11.42857143 + 10.79591837 = -0.63265306 10.79591837 + 6.571428571x + x2 = -0.63265306 Factor a perfect square on the left side: (x + 3.285714286)(x + 3.285714286) = -0.63265306 Can't calculate square root of the right side. The solution to this equation could not be determined.
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