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Simplifying 5a2 + -2ab + -16b2 = 0 Reorder the terms: -2ab + 5a2 + -16b2 = 0 Solving -2ab + 5a2 + -16b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -2b)(5a + 8b) = 0Subproblem 1
Set the factor '(a + -2b)' equal to zero and attempt to solve: Simplifying a + -2b = 0 Solving a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 a + 0 = 0 + 2b a = 0 + 2b Remove the zero: a = 2b Simplifying a = 2bSubproblem 2
Set the factor '(5a + 8b)' equal to zero and attempt to solve: Simplifying 5a + 8b = 0 Solving 5a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 5a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 5a + 0 = 0 + -8b 5a = 0 + -8b Remove the zero: 5a = -8b Divide each side by '5'. a = -1.6b Simplifying a = -1.6bSolution
a = {2b, -1.6b}
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