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Simplifying 6b2 + -12b + 216 = 0 Reorder the terms: 216 + -12b + 6b2 = 0 Solving 216 + -12b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6'. 6(36 + -2b + b2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(36 + -2b + b2)' equal to zero and attempt to solve: Simplifying 36 + -2b + b2 = 0 Solving 36 + -2b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -2b + -36 + b2 = 0 + -36 Reorder the terms: 36 + -36 + -2b + b2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2b + b2 = 0 + -36 -2b + b2 = 0 + -36 Combine like terms: 0 + -36 = -36 -2b + b2 = -36 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 = -36 + 1 Reorder the terms: 1 + -2b + b2 = -36 + 1 Combine like terms: -36 + 1 = -35 1 + -2b + b2 = -35 Factor a perfect square on the left side: (b + -1)(b + -1) = -35 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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