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Simplifying X2 + -3a + 2a2 = 0 Solving X2 + -3a + 2a2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3a' to each side of the equation. X2 + -3a + 3a + 2a2 = 0 + 3a Combine like terms: -3a + 3a = 0 X2 + 0 + 2a2 = 0 + 3a X2 + 2a2 = 0 + 3a Remove the zero: X2 + 2a2 = 3a Add '-2a2' to each side of the equation. X2 + 2a2 + -2a2 = 3a + -2a2 Combine like terms: 2a2 + -2a2 = 0 X2 + 0 = 3a + -2a2 X2 = 3a + -2a2 Simplifying X2 = 3a + -2a2 Reorder the terms: X2 + -3a + 2a2 = 3a + -3a + -2a2 + 2a2 Combine like terms: 3a + -3a = 0 X2 + -3a + 2a2 = 0 + -2a2 + 2a2 X2 + -3a + 2a2 = -2a2 + 2a2 Combine like terms: -2a2 + 2a2 = 0 X2 + -3a + 2a2 = 0 Factor a trinomial. (X + -2a)(X + -1a) = 0Subproblem 1
Set the factor '(X + -2a)' equal to zero and attempt to solve: Simplifying X + -2a = 0 Solving X + -2a = 0 Move all terms containing X to the left, all other terms to the right. Add '2a' to each side of the equation. X + -2a + 2a = 0 + 2a Combine like terms: -2a + 2a = 0 X + 0 = 0 + 2a X = 0 + 2a Remove the zero: X = 2a Simplifying X = 2aSubproblem 2
Set the factor '(X + -1a)' equal to zero and attempt to solve: Simplifying X + -1a = 0 Solving X + -1a = 0 Move all terms containing X to the left, all other terms to the right. Add 'a' to each side of the equation. X + -1a + a = 0 + a Combine like terms: -1a + a = 0 X + 0 = 0 + a X = 0 + a Remove the zero: X = a Simplifying X = aSolution
X = {2a, a}
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