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Simplifying 256a2 + -288ab + 81b2 = 0 Reorder the terms: -288ab + 256a2 + 81b2 = 0 Solving -288ab + 256a2 + 81b2 = 0 Solving for variable 'a'. Factor a trinomial. (16a + -9b)(16a + -9b) = 0Subproblem 1
Set the factor '(16a + -9b)' equal to zero and attempt to solve: Simplifying 16a + -9b = 0 Solving 16a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 16a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 16a + 0 = 0 + 9b 16a = 0 + 9b Remove the zero: 16a = 9b Divide each side by '16'. a = 0.5625b Simplifying a = 0.5625bSubproblem 2
Set the factor '(16a + -9b)' equal to zero and attempt to solve: Simplifying 16a + -9b = 0 Solving 16a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 16a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 16a + 0 = 0 + 9b 16a = 0 + 9b Remove the zero: 16a = 9b Divide each side by '16'. a = 0.5625b Simplifying a = 0.5625bSolution
a = {0.5625b, 0.5625b}
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