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Simplifying 4a2 + 9ab + 5b2 = 0 Reorder the terms: 9ab + 4a2 + 5b2 = 0 Solving 9ab + 4a2 + 5b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + b)(4a + 5b) = 0Subproblem 1
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 = -1bSubproblem 2
Set the factor '(4a + 5b)' equal to zero and attempt to solve: Simplifying 4a + 5b = 0 Solving 4a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 4a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 4a + 0 = 0 + -5b 4a = 0 + -5b Remove the zero: 4a = -5b Divide each side by '4'. a = -1.25b Simplifying a = -1.25bSolution
a = {-1b, -1.25b}
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