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Simplifying 3a2 + ab + -10b2 = 0 Reorder the terms: ab + 3a2 + -10b2 = 0 Solving ab + 3a2 + -10b2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -5b)(a + 2b) = 0Subproblem 1
Set the factor '(3a + -5b)' equal to zero and attempt to solve: Simplifying 3a + -5b = 0 Solving 3a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 = 0 + 5b 3a = 0 + 5b Remove the zero: 3a = 5b Divide each side by '3'. a = 1.666666667b Simplifying a = 1.666666667bSubproblem 2
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 = -2bSolution
a = {1.666666667b, -2b}
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