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Simplifying 16a2 + 6ab + -1b2 = 0 Reorder the terms: 6ab + 16a2 + -1b2 = 0 Solving 6ab + 16a2 + -1b2 = 0 Solving for variable 'a'. Factor a trinomial. (8a + -1b)(2a + b) = 0Subproblem 1
Set the factor '(8a + -1b)' equal to zero and attempt to solve: Simplifying 8a + -1b = 0 Solving 8a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 8a + -1b + b = 0 + b Combine like terms: -1b + b = 0 8a + 0 = 0 + b 8a = 0 + b Remove the zero: 8a = b Divide each side by '8'. a = 0.125b Simplifying a = 0.125bSubproblem 2
Set the factor '(2a + b)' equal to zero and attempt to solve: Simplifying 2a + b = 0 Solving 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 2a + 0 = 0 + -1b 2a = 0 + -1b Remove the zero: 2a = -1b Divide each side by '2'. a = -0.5b Simplifying a = -0.5bSolution
a = {0.125b, -0.5b}
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