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Simplifying 0.01b2c + -0.2c2b + -0.8c2b + 0.99b2c = 0 Reorder the terms: -0.2bc2 + -0.8bc2 + 0.01b2c + 0.99b2c = 0 Combine like terms: -0.2bc2 + -0.8bc2 = -1bc2 -1bc2 + 0.01b2c + 0.99b2c = 0 Combine like terms: 0.01b2c + 0.99b2c = 1b2c -1bc2 + 1b2c = 0 Solving -1bc2 + 1b2c = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'bc'. bc(-1c + b) = 0Subproblem 1
Set the factor 'bc' equal to zero and attempt to solve: Simplifying bc = 0 Solving bc = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1c + b)' equal to zero and attempt to solve: Simplifying -1c + b = 0 Reorder the terms: b + -1c = 0 Solving b + -1c = 0 Move all terms containing b to the left, all other terms to the right. Add 'c' to each side of the equation. b + -1c + c = 0 + c Combine like terms: -1c + c = 0 b + 0 = 0 + c b = 0 + c Remove the zero: b = c Simplifying b = cSolution
b = {c}
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