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Simplifying -5b + -1b2 = 14 Solving -5b + -1b2 = 14 Solving for variable 'b'. Reorder the terms: -14 + -5b + -1b2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -5b + -1b2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 5b + b2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + 5b + b2)' equal to zero and attempt to solve: Simplifying 14 + 5b + b2 = 0 Solving 14 + 5b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 5b + -14 + b2 = 0 + -14 Reorder the terms: 14 + -14 + 5b + b2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5b + b2 = 0 + -14 5b + b2 = 0 + -14 Combine like terms: 0 + -14 = -14 5b + b2 = -14 The b term is 5b. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5b + 6.25 + b2 = -14 + 6.25 Reorder the terms: 6.25 + 5b + b2 = -14 + 6.25 Combine like terms: -14 + 6.25 = -7.75 6.25 + 5b + b2 = -7.75 Factor a perfect square on the left side: (b + 2.5)(b + 2.5) = -7.75 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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