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Simplifying 30a3 * b6 + 35a4 * b3 = 0 Multiply a3 * b6 30a3b6 + 35a4 * b3 = 0 Multiply a4 * b3 30a3b6 + 35a4b3 = 0 Solving 30a3b6 + 35a4b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a3b3'. 5a3b3(6b3 + 7a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a3b3' equal to zero and attempt to solve: Simplifying a3b3 = 0 Solving a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b3 = 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 '(6b3 + 7a)' equal to zero and attempt to solve: Simplifying 6b3 + 7a = 0 Reorder the terms: 7a + 6b3 = 0 Solving 7a + 6b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b3' to each side of the equation. 7a + 6b3 + -6b3 = 0 + -6b3 Combine like terms: 6b3 + -6b3 = 0 7a + 0 = 0 + -6b3 7a = 0 + -6b3 Remove the zero: 7a = -6b3 Divide each side by '7'. a = -0.8571428571b3 Simplifying a = -0.8571428571b3Solution
a = {-0.8571428571b3}
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