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Simplifying 25a2 + 30ab + ab3 = 0 Reorder the terms: 30ab + ab3 + 25a2 = 0 Solving 30ab + ab3 + 25a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(30b + b3 + 25a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(30b + b3 + 25a)' equal to zero and attempt to solve: Simplifying 30b + b3 + 25a = 0 Reorder the terms: 25a + 30b + b3 = 0 Solving 25a + 30b + b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-30b' to each side of the equation. 25a + 30b + -30b + b3 = 0 + -30b Combine like terms: 30b + -30b = 0 25a + 0 + b3 = 0 + -30b 25a + b3 = 0 + -30b Remove the zero: 25a + b3 = -30b Add '-1b3' to each side of the equation. 25a + b3 + -1b3 = -30b + -1b3 Combine like terms: b3 + -1b3 = 0 25a + 0 = -30b + -1b3 25a = -30b + -1b3 Divide each side by '25'. a = -1.2b + -0.04b3 Simplifying a = -1.2b + -0.04b3Solution
a = {0, -1.2b + -0.04b3}
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