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Simplifying 8b + -1(4b) * b = 5 Remove parenthesis around (4b) 8b + -1 * 4b * b = 5 Multiply -1 * 4 8b + -4b * b = 5 Multiply b * b 8b + -4b2 = 5 Solving 8b + -4b2 = 5 Solving for variable 'b'. Reorder the terms: -5 + 8b + -4b2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 8b + -4b2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.25 + -2b + b2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -2b + -1.25 + b2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -2b + b2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -2b + b2 = 0 + -1.25 -2b + b2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -2b + b2 = -1.25 The b term is -2b. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2b + 1 + b2 = -1.25 + 1 Reorder the terms: 1 + -2b + b2 = -1.25 + 1 Combine like terms: -1.25 + 1 = -0.25 1 + -2b + b2 = -0.25 Factor a perfect square on the left side: (b + -1)(b + -1) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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