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Simplifying (a + 1) * x2 + (3a + 1) * x + 4 = 0 Reorder the terms: (1 + a) * x2 + (3a + 1) * x + 4 = 0 Reorder the terms for easier multiplication: x2(1 + a) + (3a + 1) * x + 4 = 0 (1 * x2 + a * x2) + (3a + 1) * x + 4 = 0 Reorder the terms: (ax2 + 1x2) + (3a + 1) * x + 4 = 0 (ax2 + 1x2) + (3a + 1) * x + 4 = 0 Reorder the terms: ax2 + 1x2 + (1 + 3a) * x + 4 = 0 Reorder the terms for easier multiplication: ax2 + 1x2 + x(1 + 3a) + 4 = 0 ax2 + 1x2 + (1 * x + 3a * x) + 4 = 0 Reorder the terms: ax2 + 1x2 + (3ax + 1x) + 4 = 0 ax2 + 1x2 + (3ax + 1x) + 4 = 0 Reorder the terms: 4 + 3ax + ax2 + 1x + 1x2 = 0 Solving 4 + 3ax + ax2 + 1x + 1x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3ax + ax2 + 1x + -4 + 1x2 = 0 + -4 Reorder the terms: 4 + -4 + 3ax + ax2 + 1x + 1x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3ax + ax2 + 1x + 1x2 = 0 + -4 3ax + ax2 + 1x + 1x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3ax + ax2 + 1x + 1x2 = -4 Add '-1x' to each side of the equation. 3ax + ax2 + 1x + -1x + 1x2 = -4 + -1x Combine like terms: 1x + -1x = 0 3ax + ax2 + 0 + 1x2 = -4 + -1x 3ax + ax2 + 1x2 = -4 + -1x Add '-1x2' to each side of the equation. 3ax + ax2 + 1x2 + -1x2 = -4 + -1x + -1x2 Combine like terms: 1x2 + -1x2 = 0 3ax + ax2 + 0 = -4 + -1x + -1x2 3ax + ax2 = -4 + -1x + -1x2 Reorder the terms: 4 + 3ax + ax2 + x + x2 = -4 + -1x + -1x2 + 4 + x + x2 Reorder the terms: 4 + 3ax + ax2 + x + x2 = -4 + 4 + -1x + x + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + 3ax + ax2 + x + x2 = 0 + -1x + x + -1x2 + x2 4 + 3ax + ax2 + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 4 + 3ax + ax2 + x + x2 = 0 + -1x2 + x2 4 + 3ax + ax2 + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + 3ax + ax2 + x + x2 = 0 The solution to this equation could not be determined.
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