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Simplifying (2x + a)(x + b) = 2x2 + -18 Reorder the terms: (a + 2x)(x + b) = 2x2 + -18 Reorder the terms: (a + 2x)(b + x) = 2x2 + -18 Multiply (a + 2x) * (b + x) (a(b + x) + 2x * (b + x)) = 2x2 + -18 ((b * a + x * a) + 2x * (b + x)) = 2x2 + -18 ((ab + ax) + 2x * (b + x)) = 2x2 + -18 (ab + ax + (b * 2x + x * 2x)) = 2x2 + -18 (ab + ax + (2bx + 2x2)) = 2x2 + -18 (ab + ax + 2bx + 2x2) = 2x2 + -18 Reorder the terms: ab + ax + 2bx + 2x2 = -18 + 2x2 Add '-2x2' to each side of the equation. ab + ax + 2bx + 2x2 + -2x2 = -18 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 ab + ax + 2bx + 0 = -18 + 2x2 + -2x2 ab + ax + 2bx = -18 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 ab + ax + 2bx = -18 + 0 ab + ax + 2bx = -18 Solving ab + ax + 2bx = -18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bx' to each side of the equation. ab + ax + 2bx + -2bx = -18 + -2bx Combine like terms: 2bx + -2bx = 0 ab + ax + 0 = -18 + -2bx ab + ax = -18 + -2bx Reorder the terms: 18 + ab + ax + 2bx = -18 + -2bx + 18 + 2bx Reorder the terms: 18 + ab + ax + 2bx = -18 + 18 + -2bx + 2bx Combine like terms: -18 + 18 = 0 18 + ab + ax + 2bx = 0 + -2bx + 2bx 18 + ab + ax + 2bx = -2bx + 2bx Combine like terms: -2bx + 2bx = 0 18 + ab + ax + 2bx = 0 The solution to this equation could not be determined.
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