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Simplifying 6b4c2 + 6b2c4 + -4b2c4 = 0 Reorder the terms: 6b2c4 + -4b2c4 + 6b4c2 = 0 Combine like terms: 6b2c4 + -4b2c4 = 2b2c4 2b2c4 + 6b4c2 = 0 Solving 2b2c4 + 6b4c2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b2c2'. 2b2c2(c2 + 3b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b2c2' equal to zero and attempt to solve: Simplifying b2c2 = 0 Solving b2c2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2c2 = 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 '(c2 + 3b2)' equal to zero and attempt to solve: Simplifying c2 + 3b2 = 0 Reorder the terms: 3b2 + c2 = 0 Solving 3b2 + c2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c2' to each side of the equation. 3b2 + c2 + -1c2 = 0 + -1c2 Combine like terms: c2 + -1c2 = 0 3b2 + 0 = 0 + -1c2 3b2 = 0 + -1c2 Remove the zero: 3b2 = -1c2 Divide each side by '3'. b2 = -0.3333333333c2 Simplifying b2 = -0.3333333333c2 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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