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Simplifying 2a2 + 17ab + 30b2 = 0 Reorder the terms: 17ab + 2a2 + 30b2 = 0 Solving 17ab + 2a2 + 30b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 5b)(a + 6b) = 0Subproblem 1
Set the factor '(2a + 5b)' equal to zero and attempt to solve: Simplifying 2a + 5b = 0 Solving 2a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 2a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 0 + -5b 2a = 0 + -5b Remove the zero: 2a = -5b Divide each side by '2'. a = -2.5b Simplifying a = -2.5bSubproblem 2
Set the factor '(a + 6b)' equal to zero and attempt to solve: Simplifying a + 6b = 0 Solving a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 a + 0 = 0 + -6b a = 0 + -6b Remove the zero: a = -6b Simplifying a = -6bSolution
a = {-2.5b, -6b}
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