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Simplifying 2x2 = -5ax + -3a2 Solving 2x2 = -5ax + -3a2 Solving for variable 'x'. Reorder the terms: 5ax + 3a2 + 2x2 = -5ax + -3a2 + 5ax + 3a2 Reorder the terms: 5ax + 3a2 + 2x2 = -5ax + 5ax + -3a2 + 3a2 Combine like terms: -5ax + 5ax = 0 5ax + 3a2 + 2x2 = 0 + -3a2 + 3a2 5ax + 3a2 + 2x2 = -3a2 + 3a2 Combine like terms: -3a2 + 3a2 = 0 5ax + 3a2 + 2x2 = 0 Factor a trinomial. (3a + 2x)(a + x) = 0Subproblem 1
Set the factor '(3a + 2x)' equal to zero and attempt to solve: Simplifying 3a + 2x = 0 Solving 3a + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3a' to each side of the equation. 3a + -3a + 2x = 0 + -3a Combine like terms: 3a + -3a = 0 0 + 2x = 0 + -3a 2x = 0 + -3a Remove the zero: 2x = -3a Divide each side by '2'. x = -1.5a Simplifying x = -1.5aSubproblem 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 x to the left, all other terms to the right. Add '-1a' to each side of the equation. a + -1a + x = 0 + -1a Combine like terms: a + -1a = 0 0 + x = 0 + -1a x = 0 + -1a Remove the zero: x = -1a Simplifying x = -1aSolution
x = {-1.5a, -1a}
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