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Simplifying 4a2 + 44ab + 120b2 = 0 Reorder the terms: 44ab + 4a2 + 120b2 = 0 Solving 44ab + 4a2 + 120b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(11ab + a2 + 30b2) = 0 Factor a trinomial. 4((a + 5b)(a + 6b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(a + 5b)' equal to zero and attempt to solve: Simplifying a + 5b = 0 Solving a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 = 0 + -5b a = 0 + -5b Remove the zero: a = -5b Simplifying a = -5bSubproblem 2
Set the factor '(a + 6b)' equal to zero and attempt to solve: Simplifying a + 6b = 0 Solving a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 a + 0 = 0 + -6b a = 0 + -6b Remove the zero: a = -6b Simplifying a = -6bSolution
a = {-5b, -6b}
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