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Simplifying 2a2 + 2ab + -12b2 = 0 Reorder the terms: 2ab + 2a2 + -12b2 = 0 Solving 2ab + 2a2 + -12b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(ab + a2 + -6b2) = 0 Factor a trinomial. 2((a + -2b)(a + 3b)) = 0 Ignore the factor 2.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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