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Simplifying (x + a)(3x + -1b) = 0 Reorder the terms: (a + x)(3x + -1b) = 0 Reorder the terms: (a + x)(-1b + 3x) = 0 Multiply (a + x) * (-1b + 3x) (a(-1b + 3x) + x(-1b + 3x)) = 0 ((-1b * a + 3x * a) + x(-1b + 3x)) = 0 ((-1ab + 3ax) + x(-1b + 3x)) = 0 (-1ab + 3ax + (-1b * x + 3x * x)) = 0 (-1ab + 3ax + (-1bx + 3x2)) = 0 (-1ab + 3ax + -1bx + 3x2) = 0 Solving -1ab + 3ax + -1bx + 3x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bx' to each side of the equation. -1ab + 3ax + -1bx + bx + 3x2 = 0 + bx Combine like terms: -1bx + bx = 0 -1ab + 3ax + 0 + 3x2 = 0 + bx -1ab + 3ax + 3x2 = 0 + bx Remove the zero: -1ab + 3ax + 3x2 = bx Add '-3x2' to each side of the equation. -1ab + 3ax + 3x2 + -3x2 = bx + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1ab + 3ax + 0 = bx + -3x2 -1ab + 3ax = bx + -3x2 Reorder the terms: -1ab + 3ax + -1bx + 3x2 = bx + -1bx + -3x2 + 3x2 Combine like terms: bx + -1bx = 0 -1ab + 3ax + -1bx + 3x2 = 0 + -3x2 + 3x2 -1ab + 3ax + -1bx + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -1ab + 3ax + -1bx + 3x2 = 0 The solution to this equation could not be determined.
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