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Simplifying 3a2 + -13ab + 10b2 = 0 Reorder the terms: -13ab + 3a2 + 10b2 = 0 Solving -13ab + 3a2 + 10b2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -10b)(a + -1b) = 0Subproblem 1
Set the factor '(3a + -10b)' equal to zero and attempt to solve: Simplifying 3a + -10b = 0 Solving 3a + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 3a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 3a + 0 = 0 + 10b 3a = 0 + 10b Remove the zero: 3a = 10b Divide each side by '3'. a = 3.333333333b Simplifying a = 3.333333333bSubproblem 2
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 = bSolution
a = {3.333333333b, b}
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