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Simplifying (x + a)(x + 6) = 23 Reorder the terms: (a + x)(x + 6) = 23 Reorder the terms: (a + x)(6 + x) = 23 Multiply (a + x) * (6 + x) (a(6 + x) + x(6 + x)) = 23 ((6 * a + x * a) + x(6 + x)) = 23 ((6a + ax) + x(6 + x)) = 23 (6a + ax + (6 * x + x * x)) = 23 (6a + ax + (6x + x2)) = 23 (6a + ax + 6x + x2) = 23 Solving 6a + ax + 6x + x2 = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. 6a + ax + 6x + -6x + x2 = 23 + -6x Combine like terms: 6x + -6x = 0 6a + ax + 0 + x2 = 23 + -6x 6a + ax + x2 = 23 + -6x Add '-1x2' to each side of the equation. 6a + ax + x2 + -1x2 = 23 + -6x + -1x2 Combine like terms: x2 + -1x2 = 0 6a + ax + 0 = 23 + -6x + -1x2 6a + ax = 23 + -6x + -1x2 Reorder the terms: -23 + 6a + ax + 6x + x2 = 23 + -6x + -1x2 + -23 + 6x + x2 Reorder the terms: -23 + 6a + ax + 6x + x2 = 23 + -23 + -6x + 6x + -1x2 + x2 Combine like terms: 23 + -23 = 0 -23 + 6a + ax + 6x + x2 = 0 + -6x + 6x + -1x2 + x2 -23 + 6a + ax + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 -23 + 6a + ax + 6x + x2 = 0 + -1x2 + x2 -23 + 6a + ax + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -23 + 6a + ax + 6x + x2 = 0 The solution to this equation could not be determined.
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