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Simplifying 112x2 + -12x + 22 = 0 Reorder the terms: 22 + -12x + 112x2 = 0 Solving 22 + -12x + 112x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(11 + -6x + 56x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -6x + 56x2)' equal to zero and attempt to solve: Simplifying 11 + -6x + 56x2 = 0 Solving 11 + -6x + 56x2 = 0 Begin completing the square. Divide all terms by 56 the coefficient of the squared term: Divide each side by '56'. 0.1964285714 + -0.1071428571x + x2 = 0 Move the constant term to the right: Add '-0.1964285714' to each side of the equation. 0.1964285714 + -0.1071428571x + -0.1964285714 + x2 = 0 + -0.1964285714 Reorder the terms: 0.1964285714 + -0.1964285714 + -0.1071428571x + x2 = 0 + -0.1964285714 Combine like terms: 0.1964285714 + -0.1964285714 = 0.0000000000 0.0000000000 + -0.1071428571x + x2 = 0 + -0.1964285714 -0.1071428571x + x2 = 0 + -0.1964285714 Combine like terms: 0 + -0.1964285714 = -0.1964285714 -0.1071428571x + x2 = -0.1964285714 The x term is -0.1071428571x. Take half its coefficient (-0.05357142855). Square it (0.002869897957) and add it to both sides. Add '0.002869897957' to each side of the equation. -0.1071428571x + 0.002869897957 + x2 = -0.1964285714 + 0.002869897957 Reorder the terms: 0.002869897957 + -0.1071428571x + x2 = -0.1964285714 + 0.002869897957 Combine like terms: -0.1964285714 + 0.002869897957 = -0.193558673443 0.002869897957 + -0.1071428571x + x2 = -0.193558673443 Factor a perfect square on the left side: (x + -0.05357142855)(x + -0.05357142855) = -0.193558673443 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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