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Simplifying -6b2 + -6a2 + 20ab = 0 Reorder the terms: 20ab + -6a2 + -6b2 = 0 Solving 20ab + -6a2 + -6b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(10ab + -3a2 + -3b2) = 0 Factor a trinomial. 2((-3a + b)(a + -3b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3a + b)' equal to zero and attempt to solve: Simplifying -3a + b = 0 Solving -3a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -3a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -3a + 0 = 0 + -1b -3a = 0 + -1b Remove the zero: -3a = -1b Divide each side by '-3'. a = 0.3333333333b Simplifying a = 0.3333333333bSubproblem 2
Set the factor '(a + -3b)' equal to zero and attempt to solve: Simplifying a + -3b = 0 Solving a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a + 0 = 0 + 3b a = 0 + 3b Remove the zero: a = 3b Simplifying a = 3bSolution
a = {0.3333333333b, 3b}
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