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Simplifying 79x2 + 43x + 2089 = 0 Reorder the terms: 2089 + 43x + 79x2 = 0 Solving 2089 + 43x + 79x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 79 the coefficient of the squared term: Divide each side by '79'. 26.44303797 + 0.5443037975x + x2 = 0 Move the constant term to the right: Add '-26.44303797' to each side of the equation. 26.44303797 + 0.5443037975x + -26.44303797 + x2 = 0 + -26.44303797 Reorder the terms: 26.44303797 + -26.44303797 + 0.5443037975x + x2 = 0 + -26.44303797 Combine like terms: 26.44303797 + -26.44303797 = 0.00000000 0.00000000 + 0.5443037975x + x2 = 0 + -26.44303797 0.5443037975x + x2 = 0 + -26.44303797 Combine like terms: 0 + -26.44303797 = -26.44303797 0.5443037975x + x2 = -26.44303797 The x term is 0.5443037975x. Take half its coefficient (0.2721518988). Square it (0.07406665602) and add it to both sides. Add '0.07406665602' to each side of the equation. 0.5443037975x + 0.07406665602 + x2 = -26.44303797 + 0.07406665602 Reorder the terms: 0.07406665602 + 0.5443037975x + x2 = -26.44303797 + 0.07406665602 Combine like terms: -26.44303797 + 0.07406665602 = -26.36897131398 0.07406665602 + 0.5443037975x + x2 = -26.36897131398 Factor a perfect square on the left side: (x + 0.2721518988)(x + 0.2721518988) = -26.36897131398 Can't calculate square root of the right side. The solution to this equation could not be determined.
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