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Simplifying x2 + 3ax + 2a2 = 0 Reorder the terms: 3ax + 2a2 + x2 = 0 Solving 3ax + 2a2 + x2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + x)(a + x) = 0Subproblem 1
Set the factor '(2a + x)' equal to zero and attempt to solve: Simplifying 2a + x = 0 Solving 2a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 2a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2a + 0 = 0 + -1x 2a = 0 + -1x Remove the zero: 2a = -1x Divide each side by '2'. a = -0.5x Simplifying a = -0.5xSubproblem 2
Set the factor '(a + x)' equal to zero and attempt to solve: Simplifying a + x = 0 Solving a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 a + 0 = 0 + -1x a = 0 + -1x Remove the zero: a = -1x Simplifying a = -1xSolution
a = {-0.5x, -1x}
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