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Simplifying 3b2 + -15b + 30 = 0 Reorder the terms: 30 + -15b + 3b2 = 0 Solving 30 + -15b + 3b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + -5b + b2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + -5b + b2)' equal to zero and attempt to solve: Simplifying 10 + -5b + b2 = 0 Solving 10 + -5b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5b + -10 + b2 = 0 + -10 Reorder the terms: 10 + -10 + -5b + b2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5b + b2 = 0 + -10 -5b + b2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5b + b2 = -10 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 = -10 + 6.25 Reorder the terms: 6.25 + -5b + b2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + -5b + b2 = -3.75 Factor a perfect square on the left side: (b + -2.5)(b + -2.5) = -3.75 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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