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Simplifying 4a2 + 32ab + 60b2 = 0 Reorder the terms: 32ab + 4a2 + 60b2 = 0 Solving 32ab + 4a2 + 60b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(8ab + a2 + 15b2) = 0 Factor a trinomial. 4((a + 3b)(a + 5b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(a + 3b)' equal to zero and attempt to solve: Simplifying a + 3b = 0 Solving a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a + 0 = 0 + -3b a = 0 + -3b Remove the zero: a = -3b Simplifying a = -3bSubproblem 2
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 = -5bSolution
a = {-3b, -5b}
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