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Simplifying 60a2 + -34ab + -70b2 = 0 Reorder the terms: -34ab + 60a2 + -70b2 = 0 Solving -34ab + 60a2 + -70b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-17ab + 30a2 + -35b2) = 0 Factor a trinomial. 2((5a + -7b)(6a + 5b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5a + -7b)' equal to zero and attempt to solve: Simplifying 5a + -7b = 0 Solving 5a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 5a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 5a + 0 = 0 + 7b 5a = 0 + 7b Remove the zero: 5a = 7b Divide each side by '5'. a = 1.4b Simplifying a = 1.4bSubproblem 2
Set the factor '(6a + 5b)' equal to zero and attempt to solve: Simplifying 6a + 5b = 0 Solving 6a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 6a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 6a + 0 = 0 + -5b 6a = 0 + -5b Remove the zero: 6a = -5b Divide each side by '6'. a = -0.8333333333b Simplifying a = -0.8333333333bSolution
a = {1.4b, -0.8333333333b}
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