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Simplifying 2a2 + -2ab + -24b2 = 0 Reorder the terms: -2ab + 2a2 + -24b2 = 0 Solving -2ab + 2a2 + -24b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1ab + a2 + -12b2) = 0 Factor a trinomial. 2((a + -4b)(a + 3b)) = 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 + 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 = {4b, -3b}
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