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Simplifying 8a2 + 2b2 + 8ab = 0 Reorder the terms: 8ab + 8a2 + 2b2 = 0 Solving 8ab + 8a2 + 2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(4ab + 4a2 + b2) = 0 Factor a trinomial. 2((2a + b)(2a + b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2a + b)' equal to zero and attempt to solve: Simplifying 2a + b = 0 Solving 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 2a + 0 = 0 + -1b 2a = 0 + -1b Remove the zero: 2a = -1b Divide each side by '2'. a = -0.5b Simplifying a = -0.5bSubproblem 2
Set the factor '(2a + b)' equal to zero and attempt to solve: Simplifying 2a + b = 0 Solving 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 2a + 0 = 0 + -1b 2a = 0 + -1b Remove the zero: 2a = -1b Divide each side by '2'. a = -0.5b Simplifying a = -0.5bSolution
a = {-0.5b, -0.5b}
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