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Simplifying 48a2 + 28ab + 4b2 = 0 Reorder the terms: 28ab + 48a2 + 4b2 = 0 Solving 28ab + 48a2 + 4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(7ab + 12a2 + b2) = 0 Factor a trinomial. 4((4a + b)(3a + b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4a + b)' equal to zero and attempt to solve: Simplifying 4a + b = 0 Solving 4a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 4a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 4a + 0 = 0 + -1b 4a = 0 + -1b Remove the zero: 4a = -1b Divide each side by '4'. a = -0.25b Simplifying a = -0.25bSubproblem 2
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 = -0.3333333333bSolution
a = {-0.25b, -0.3333333333b}
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