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Simplifying 20a2 + -8ab + -28b2 = 0 Reorder the terms: -8ab + 20a2 + -28b2 = 0 Solving -8ab + 20a2 + -28b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-2ab + 5a2 + -7b2) = 0 Factor a trinomial. 4((5a + -7b)(a + b)) = 0 Ignore the factor 4.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 '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSolution
a = {1.4b, -1b}
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