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Simplifying 8a2 + -2ab + -6b2 = 0 Reorder the terms: -2ab + 8a2 + -6b2 = 0 Solving -2ab + 8a2 + -6b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1ab + 4a2 + -3b2) = 0 Factor a trinomial. 2((a + -1b)(4a + 3b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSubproblem 2
Set the factor '(4a + 3b)' equal to zero and attempt to solve: Simplifying 4a + 3b = 0 Solving 4a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 4a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 4a + 0 = 0 + -3b 4a = 0 + -3b Remove the zero: 4a = -3b Divide each side by '4'. a = -0.75b Simplifying a = -0.75bSolution
a = {b, -0.75b}
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