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Simplifying 5a2 + -3ab + -2b2 = 0 Reorder the terms: -3ab + 5a2 + -2b2 = 0 Solving -3ab + 5a2 + -2b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -1b)(5a + 2b) = 0Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSubproblem 2
Set the factor '(5a + 2b)' equal to zero and attempt to solve: Simplifying 5a + 2b = 0 Solving 5a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 5a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 5a + 0 = 0 + -2b 5a = 0 + -2b Remove the zero: 5a = -2b Divide each side by '5'. a = -0.4b Simplifying a = -0.4bSolution
a = {b, -0.4b}
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