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Simplifying 3a2 + 15ab + 18b2 = 0 Reorder the terms: 15ab + 3a2 + 18b2 = 0 Solving 15ab + 3a2 + 18b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(5ab + a2 + 6b2) = 0 Factor a trinomial. 3((a + 2b)(a + 3b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(a + 2b)' equal to zero and attempt to solve: Simplifying a + 2b = 0 Solving a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 0 + -2b a = 0 + -2b Remove the zero: a = -2b Simplifying a = -2bSubproblem 2
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 = -3bSolution
a = {-2b, -3b}
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