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Simplifying 15a2 + -13ab + -2b2 = 0 Reorder the terms: -13ab + 15a2 + -2b2 = 0 Solving -13ab + 15a2 + -2b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -1b)(15a + 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 '(15a + 2b)' equal to zero and attempt to solve: Simplifying 15a + 2b = 0 Solving 15a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 15a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 15a + 0 = 0 + -2b 15a = 0 + -2b Remove the zero: 15a = -2b Divide each side by '15'. a = -0.1333333333b Simplifying a = -0.1333333333bSolution
a = {b, -0.1333333333b}
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