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Simplifying 4a2 + 16ab + 15b2 = 0 Reorder the terms: 16ab + 4a2 + 15b2 = 0 Solving 16ab + 4a2 + 15b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 3b)(2a + 5b) = 0Subproblem 1
Set the factor '(2a + 3b)' equal to zero and attempt to solve: Simplifying 2a + 3b = 0 Solving 2a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 0 + -3b 2a = 0 + -3b Remove the zero: 2a = -3b Divide each side by '2'. a = -1.5b Simplifying a = -1.5bSubproblem 2
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 = -2.5bSolution
a = {-1.5b, -2.5b}
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