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Simplifying 28a2 + 80ab + -12b2 = 0 Reorder the terms: 80ab + 28a2 + -12b2 = 0 Solving 80ab + 28a2 + -12b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(20ab + 7a2 + -3b2) = 0 Factor a trinomial. 4((7a + -1b)(a + 3b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7a + -1b)' equal to zero and attempt to solve: Simplifying 7a + -1b = 0 Solving 7a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 7a + -1b + b = 0 + b Combine like terms: -1b + b = 0 7a + 0 = 0 + b 7a = 0 + b Remove the zero: 7a = b Divide each side by '7'. a = 0.1428571429b Simplifying a = 0.1428571429bSubproblem 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 = {0.1428571429b, -3b}
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