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Simplifying 10a2 + 8ab2 = 0 Reorder the terms: 8ab2 + 10a2 = 0 Solving 8ab2 + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(4b2 + 5a) = 0 Ignore the factor 2.Subproblem 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 '(4b2 + 5a)' equal to zero and attempt to solve: Simplifying 4b2 + 5a = 0 Reorder the terms: 5a + 4b2 = 0 Solving 5a + 4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b2' to each side of the equation. 5a + 4b2 + -4b2 = 0 + -4b2 Combine like terms: 4b2 + -4b2 = 0 5a + 0 = 0 + -4b2 5a = 0 + -4b2 Remove the zero: 5a = -4b2 Divide each side by '5'. a = -0.8b2 Simplifying a = -0.8b2Solution
a = {0, -0.8b2}
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