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Simplifying -2a2 + 6ab + -4b2 = 0 Reorder the terms: 6ab + -2a2 + -4b2 = 0 Solving 6ab + -2a2 + -4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(3ab + -1a2 + -2b2) = 0 Factor a trinomial. 2((-1a + b)(a + -2b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1a + b)' equal to zero and attempt to solve: Simplifying -1a + b = 0 Solving -1a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -1a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -1a + 0 = 0 + -1b -1a = 0 + -1b Remove the zero: -1a = -1b Divide each side by '-1'. a = b Simplifying a = bSubproblem 2
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 = 2bSolution
a = {b, 2b}
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