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Simplifying 2a2 + -9ab + -45b2 = 0 Reorder the terms: -9ab + 2a2 + -45b2 = 0 Solving -9ab + 2a2 + -45b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -15b)(a + 3b) = 0Subproblem 1
Set the factor '(2a + -15b)' equal to zero and attempt to solve: Simplifying 2a + -15b = 0 Solving 2a + -15b = 0 Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 2a + -15b + 15b = 0 + 15b Combine like terms: -15b + 15b = 0 2a + 0 = 0 + 15b 2a = 0 + 15b Remove the zero: 2a = 15b Divide each side by '2'. a = 7.5b Simplifying a = 7.5bSubproblem 2
Set the factor '(a + 3b)' equal to zero and attempt to solve: Simplifying a + 3b = 0 Solving a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a + 0 = 0 + -3b a = 0 + -3b Remove the zero: a = -3b Simplifying a = -3bSolution
a = {7.5b, -3b}
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