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Simplifying 5b2 + 50b + 800 = 0 Reorder the terms: 800 + 50b + 5b2 = 0 Solving 800 + 50b + 5b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(160 + 10b + b2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(160 + 10b + b2)' equal to zero and attempt to solve: Simplifying 160 + 10b + b2 = 0 Solving 160 + 10b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + 10b + -160 + b2 = 0 + -160 Reorder the terms: 160 + -160 + 10b + b2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 10b + b2 = 0 + -160 10b + b2 = 0 + -160 Combine like terms: 0 + -160 = -160 10b + b2 = -160 The b term is 10b. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10b + 25 + b2 = -160 + 25 Reorder the terms: 25 + 10b + b2 = -160 + 25 Combine like terms: -160 + 25 = -135 25 + 10b + b2 = -135 Factor a perfect square on the left side: (b + 5)(b + 5) = -135 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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