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Simplifying 7x2 + -32x + 68 = 0 Reorder the terms: 68 + -32x + 7x2 = 0 Solving 68 + -32x + 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'. 9.714285714 + -4.571428571x + x2 = 0 Move the constant term to the right: Add '-9.714285714' to each side of the equation. 9.714285714 + -4.571428571x + -9.714285714 + x2 = 0 + -9.714285714 Reorder the terms: 9.714285714 + -9.714285714 + -4.571428571x + x2 = 0 + -9.714285714 Combine like terms: 9.714285714 + -9.714285714 = 0.000000000 0.000000000 + -4.571428571x + x2 = 0 + -9.714285714 -4.571428571x + x2 = 0 + -9.714285714 Combine like terms: 0 + -9.714285714 = -9.714285714 -4.571428571x + x2 = -9.714285714 The x term is -4.571428571x. Take half its coefficient (-2.285714286). Square it (5.224489797) and add it to both sides. Add '5.224489797' to each side of the equation. -4.571428571x + 5.224489797 + x2 = -9.714285714 + 5.224489797 Reorder the terms: 5.224489797 + -4.571428571x + x2 = -9.714285714 + 5.224489797 Combine like terms: -9.714285714 + 5.224489797 = -4.489795917 5.224489797 + -4.571428571x + x2 = -4.489795917 Factor a perfect square on the left side: (x + -2.285714286)(x + -2.285714286) = -4.489795917 Can't calculate square root of the right side. The solution to this equation could not be determined.
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