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Simplifying 4(b4)(c5) + 5(b5)(c4) + -3(b5)(c4) = 0 Multiply b4 * c5 4b4c5 + 5(b5)(c4) + -3(b5)(c4) = 0 Multiply b5 * c4 4b4c5 + 5b5c4 + -3(b5)(c4) = 0 Multiply b5 * c4 4b4c5 + 5b5c4 + -3b5c4 = 0 Combine like terms: 5b5c4 + -3b5c4 = 2b5c4 4b4c5 + 2b5c4 = 0 Solving 4b4c5 + 2b5c4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b4c4'. 2b4c4(2c + b) = 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 '(2c + b)' equal to zero and attempt to solve: Simplifying 2c + b = 0 Reorder the terms: b + 2c = 0 Solving b + 2c = 0 Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 b + 0 = 0 + -2c b = 0 + -2c Remove the zero: b = -2c Simplifying b = -2cSolution
b = {-2c}
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