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Simplifying 144a2 + b2 + -24ab = 0 Reorder the terms: -24ab + 144a2 + b2 = 0 Solving -24ab + 144a2 + b2 = 0 Solving for variable 'a'. Factor a trinomial. (12a + -1b)(12a + -1b) = 0Subproblem 1
Set the factor '(12a + -1b)' equal to zero and attempt to solve: Simplifying 12a + -1b = 0 Solving 12a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 12a + -1b + b = 0 + b Combine like terms: -1b + b = 0 12a + 0 = 0 + b 12a = 0 + b Remove the zero: 12a = b Divide each side by '12'. a = 0.08333333333b Simplifying a = 0.08333333333bSubproblem 2
Set the factor '(12a + -1b)' equal to zero and attempt to solve: Simplifying 12a + -1b = 0 Solving 12a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 12a + -1b + b = 0 + b Combine like terms: -1b + b = 0 12a + 0 = 0 + b 12a = 0 + b Remove the zero: 12a = b Divide each side by '12'. a = 0.08333333333b Simplifying a = 0.08333333333bSolution
a = {0.08333333333b, 0.08333333333b}
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