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Simplifying ax3 + bx2 + cx + a = 0 Reorder the terms: a + ax3 + bx2 + cx = 0 Solving a + ax3 + bx2 + cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx2' to each side of the equation. a + ax3 + bx2 + -1bx2 + cx = 0 + -1bx2 Combine like terms: bx2 + -1bx2 = 0 a + ax3 + 0 + cx = 0 + -1bx2 a + ax3 + cx = 0 + -1bx2 Remove the zero: a + ax3 + cx = -1bx2 Add '-1cx' to each side of the equation. a + ax3 + cx + -1cx = -1bx2 + -1cx Combine like terms: cx + -1cx = 0 a + ax3 + 0 = -1bx2 + -1cx a + ax3 = -1bx2 + -1cx Reorder the terms: a + ax3 + bx2 + cx = -1bx2 + bx2 + -1cx + cx Combine like terms: -1bx2 + bx2 = 0 a + ax3 + bx2 + cx = 0 + -1cx + cx a + ax3 + bx2 + cx = -1cx + cx Combine like terms: -1cx + cx = 0 a + ax3 + bx2 + cx = 0 The solution to this equation could not be determined.
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