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Simplifying -4a2 + -17ab + -4b2 = 0 Reorder the terms: -17ab + -4a2 + -4b2 = 0 Solving -17ab + -4a2 + -4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(17ab + 4a2 + 4b2) = 0 Factor a trinomial. -1((4a + b)(a + 4b)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4a + b)' equal to zero and attempt to solve: Simplifying 4a + b = 0 Solving 4a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 4a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 4a + 0 = 0 + -1b 4a = 0 + -1b Remove the zero: 4a = -1b Divide each side by '4'. a = -0.25b Simplifying a = -0.25bSubproblem 2
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 = -4bSolution
a = {-0.25b, -4b}
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