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Simplifying (2x + a)(x + -1b) = 0 Reorder the terms: (a + 2x)(x + -1b) = 0 Reorder the terms: (a + 2x)(-1b + x) = 0 Multiply (a + 2x) * (-1b + x) (a(-1b + x) + 2x * (-1b + x)) = 0 ((-1b * a + x * a) + 2x * (-1b + x)) = 0 ((-1ab + ax) + 2x * (-1b + x)) = 0 (-1ab + ax + (-1b * 2x + x * 2x)) = 0 (-1ab + ax + (-2bx + 2x2)) = 0 (-1ab + ax + -2bx + 2x2) = 0 Solving -1ab + ax + -2bx + 2x2 = 0 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. -1ab + ax + -2bx + 2bx + 2x2 = 0 + 2bx Combine like terms: -2bx + 2bx = 0 -1ab + ax + 0 + 2x2 = 0 + 2bx -1ab + ax + 2x2 = 0 + 2bx Remove the zero: -1ab + ax + 2x2 = 2bx Add '-2x2' to each side of the equation. -1ab + ax + 2x2 + -2x2 = 2bx + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1ab + ax + 0 = 2bx + -2x2 -1ab + ax = 2bx + -2x2 Reorder the terms: -1ab + ax + -2bx + 2x2 = 2bx + -2bx + -2x2 + 2x2 Combine like terms: 2bx + -2bx = 0 -1ab + ax + -2bx + 2x2 = 0 + -2x2 + 2x2 -1ab + ax + -2bx + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1ab + ax + -2bx + 2x2 = 0 The solution to this equation could not be determined.
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