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Simplifying 7b2 + 7 = 3b Reorder the terms: 7 + 7b2 = 3b Solving 7 + 7b2 = 3b Solving for variable 'b'. Reorder the terms: 7 + -3b + 7b2 = 3b + -3b Combine like terms: 3b + -3b = 0 7 + -3b + 7b2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -0.4285714286b + b2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.4285714286b + -1 + b2 = 0 + -1 Reorder the terms: 1 + -1 + -0.4285714286b + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4285714286b + b2 = 0 + -1 -0.4285714286b + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.4285714286b + b2 = -1 The b term is -0.4285714286b. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286b + 0.04591836735 + b2 = -1 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286b + b2 = -1 + 0.04591836735 Combine like terms: -1 + 0.04591836735 = -0.95408163265 0.04591836735 + -0.4285714286b + b2 = -0.95408163265 Factor a perfect square on the left side: (b + -0.2142857143)(b + -0.2142857143) = -0.95408163265 Can't calculate square root of the right side. The solution to this equation could not be determined.
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