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Simplifying 22b2 + -22b + 20 = 0 Reorder the terms: 20 + -22b + 22b2 = 0 Solving 20 + -22b + 22b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -11b + 11b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -11b + 11b2)' equal to zero and attempt to solve: Simplifying 10 + -11b + 11b2 = 0 Solving 10 + -11b + 11b2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.9090909091 + -1b + b2 = 0 Move the constant term to the right: Add '-0.9090909091' to each side of the equation. 0.9090909091 + -1b + -0.9090909091 + b2 = 0 + -0.9090909091 Reorder the terms: 0.9090909091 + -0.9090909091 + -1b + b2 = 0 + -0.9090909091 Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000 0.0000000000 + -1b + b2 = 0 + -0.9090909091 -1b + b2 = 0 + -0.9090909091 Combine like terms: 0 + -0.9090909091 = -0.9090909091 -1b + b2 = -0.9090909091 The b term is -1b. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1b + 0.25 + b2 = -0.9090909091 + 0.25 Reorder the terms: 0.25 + -1b + b2 = -0.9090909091 + 0.25 Combine like terms: -0.9090909091 + 0.25 = -0.6590909091 0.25 + -1b + b2 = -0.6590909091 Factor a perfect square on the left side: (b + -0.5)(b + -0.5) = -0.6590909091 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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