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Simplifying 6b2 + -24b + 25 = 0 Reorder the terms: 25 + -24b + 6b2 = 0 Solving 25 + -24b + 6b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 4.166666667 + -4b + b2 = 0 Move the constant term to the right: Add '-4.166666667' to each side of the equation. 4.166666667 + -4b + -4.166666667 + b2 = 0 + -4.166666667 Reorder the terms: 4.166666667 + -4.166666667 + -4b + b2 = 0 + -4.166666667 Combine like terms: 4.166666667 + -4.166666667 = 0.000000000 0.000000000 + -4b + b2 = 0 + -4.166666667 -4b + b2 = 0 + -4.166666667 Combine like terms: 0 + -4.166666667 = -4.166666667 -4b + b2 = -4.166666667 The b term is -4b. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4b + 4 + b2 = -4.166666667 + 4 Reorder the terms: 4 + -4b + b2 = -4.166666667 + 4 Combine like terms: -4.166666667 + 4 = -0.166666667 4 + -4b + b2 = -0.166666667 Factor a perfect square on the left side: (b + -2)(b + -2) = -0.166666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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