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Simplifying 2a2 + -3ab + -20b2 = 0 Reorder the terms: -3ab + 2a2 + -20b2 = 0 Solving -3ab + 2a2 + -20b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -4b)(2a + 5b) = 0Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSubproblem 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 = {4b, -2.5b}
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