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Simplifying 2a2 + 4ab + -48b2 = 0 Reorder the terms: 4ab + 2a2 + -48b2 = 0 Solving 4ab + 2a2 + -48b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(2ab + a2 + -24b2) = 0 Factor a trinomial. 2((a + -4b)(a + 6b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSubproblem 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 = {4b, -6b}
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