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Simplifying -8a2 + -65ab + -8b2 = 0 Reorder the terms: -65ab + -8a2 + -8b2 = 0 Solving -65ab + -8a2 + -8b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(65ab + 8a2 + 8b2) = 0 Factor a trinomial. -1((8a + b)(a + 8b)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8a + b)' equal to zero and attempt to solve: Simplifying 8a + b = 0 Solving 8a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 8a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 8a + 0 = 0 + -1b 8a = 0 + -1b Remove the zero: 8a = -1b Divide each side by '8'. a = -0.125b Simplifying a = -0.125bSubproblem 2
Set the factor '(a + 8b)' equal to zero and attempt to solve: Simplifying a + 8b = 0 Solving a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 a + 0 = 0 + -8b a = 0 + -8b Remove the zero: a = -8b Simplifying a = -8bSolution
a = {-0.125b, -8b}
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