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Simplifying 14b2c3 + 21bc5 = 0 Reorder the terms: 21bc5 + 14b2c3 = 0 Solving 21bc5 + 14b2c3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '7bc3'. 7bc3(3c2 + 2b) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'bc3' equal to zero and attempt to solve: Simplifying bc3 = 0 Solving bc3 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bc3 = 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 '(3c2 + 2b)' equal to zero and attempt to solve: Simplifying 3c2 + 2b = 0 Reorder the terms: 2b + 3c2 = 0 Solving 2b + 3c2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-3c2' to each side of the equation. 2b + 3c2 + -3c2 = 0 + -3c2 Combine like terms: 3c2 + -3c2 = 0 2b + 0 = 0 + -3c2 2b = 0 + -3c2 Remove the zero: 2b = -3c2 Divide each side by '2'. b = -1.5c2 Simplifying b = -1.5c2Solution
b = {-1.5c2}
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