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Simplifying x3 + 3x2 + 2x + ax2 + 3ax + 2a = 0 Reorder the terms: 2a + 3ax + ax2 + 2x + 3x2 + x3 = 0 Solving 2a + 3ax + ax2 + 2x + 3x2 + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 2a + 3ax + ax2 + 2x + 3x2 + -2x + x3 = 0 + -2x Reorder the terms: 2a + 3ax + ax2 + 2x + -2x + 3x2 + x3 = 0 + -2x Combine like terms: 2x + -2x = 0 2a + 3ax + ax2 + 0 + 3x2 + x3 = 0 + -2x 2a + 3ax + ax2 + 3x2 + x3 = 0 + -2x Remove the zero: 2a + 3ax + ax2 + 3x2 + x3 = -2x Add '-3x2' to each side of the equation. 2a + 3ax + ax2 + 3x2 + -3x2 + x3 = -2x + -3x2 Combine like terms: 3x2 + -3x2 = 0 2a + 3ax + ax2 + 0 + x3 = -2x + -3x2 2a + 3ax + ax2 + x3 = -2x + -3x2 Add '-1x3' to each side of the equation. 2a + 3ax + ax2 + x3 + -1x3 = -2x + -3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 2a + 3ax + ax2 + 0 = -2x + -3x2 + -1x3 2a + 3ax + ax2 = -2x + -3x2 + -1x3 Reorder the terms: 2a + 3ax + ax2 + 2x + 3x2 + x3 = -2x + 2x + -3x2 + 3x2 + -1x3 + x3 Combine like terms: -2x + 2x = 0 2a + 3ax + ax2 + 2x + 3x2 + x3 = 0 + -3x2 + 3x2 + -1x3 + x3 2a + 3ax + ax2 + 2x + 3x2 + x3 = -3x2 + 3x2 + -1x3 + x3 Combine like terms: -3x2 + 3x2 = 0 2a + 3ax + ax2 + 2x + 3x2 + x3 = 0 + -1x3 + x3 2a + 3ax + ax2 + 2x + 3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 2a + 3ax + ax2 + 2x + 3x2 + x3 = 0 The solution to this equation could not be determined.
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