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Simplifying 7a2 + 9ab + 2b2 = 0 Reorder the terms: 9ab + 7a2 + 2b2 = 0 Solving 9ab + 7a2 + 2b2 = 0 Solving for variable 'a'. Factor a trinomial. (7a + 2b)(a + b) = 0Subproblem 1
Set the factor '(7a + 2b)' equal to zero and attempt to solve: Simplifying 7a + 2b = 0 Solving 7a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 7a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 7a + 0 = 0 + -2b 7a = 0 + -2b Remove the zero: 7a = -2b Divide each side by '7'. a = -0.2857142857b Simplifying a = -0.2857142857bSubproblem 2
Set the factor '(a + b)' equal to zero and attempt to solve: Simplifying a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1bSolution
a = {-0.2857142857b, -1b}
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