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Simplifying 9a2 + 5ab + -4b2 = 0 Reorder the terms: 5ab + 9a2 + -4b2 = 0 Solving 5ab + 9a2 + -4b2 = 0 Solving for variable 'a'. Factor a trinomial. (9a + -4b)(a + b) = 0Subproblem 1
Set the factor '(9a + -4b)' equal to zero and attempt to solve: Simplifying 9a + -4b = 0 Solving 9a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 9a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 9a + 0 = 0 + 4b 9a = 0 + 4b Remove the zero: 9a = 4b Divide each side by '9'. a = 0.4444444444b Simplifying a = 0.4444444444bSubproblem 2
Set the factor '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSolution
a = {0.4444444444b, -1b}
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