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