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Simplifying 8b5c4 + 6b4c5 + -4b4c5 = 0 Reorder the terms: 6b4c5 + -4b4c5 + 8b5c4 = 0 Combine like terms: 6b4c5 + -4b4c5 = 2b4c5 2b4c5 + 8b5c4 = 0 Solving 2b4c5 + 8b5c4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b4c4'. 2b4c4(c + 4b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b4c4' equal to zero and attempt to solve: Simplifying b4c4 = 0 Solving b4c4 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b4c4 = 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 '(c + 4b)' equal to zero and attempt to solve: Simplifying c + 4b = 0 Reorder the terms: 4b + c = 0 Solving 4b + c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. 4b + c + -1c = 0 + -1c Combine like terms: c + -1c = 0 4b + 0 = 0 + -1c 4b = 0 + -1c Remove the zero: 4b = -1c Divide each side by '4'. b = -0.25c Simplifying b = -0.25cSolution
b = {-0.25c}
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