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