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