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Simplifying (3a + b)(b + -1) = 17 Reorder the terms: (3a + b)(-1 + b) = 17 Multiply (3a + b) * (-1 + b) (3a * (-1 + b) + b(-1 + b)) = 17 ((-1 * 3a + b * 3a) + b(-1 + b)) = 17 ((-3a + 3ab) + b(-1 + b)) = 17 (-3a + 3ab + (-1 * b + b * b)) = 17 (-3a + 3ab + (-1b + b2)) = 17 (-3a + 3ab + -1b + b2) = 17 Solving -3a + 3ab + -1b + b2 = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -3a + 3ab + -1b + b + b2 = 17 + b Combine like terms: -1b + b = 0 -3a + 3ab + 0 + b2 = 17 + b -3a + 3ab + b2 = 17 + b Add '-1b2' to each side of the equation. -3a + 3ab + b2 + -1b2 = 17 + b + -1b2 Combine like terms: b2 + -1b2 = 0 -3a + 3ab + 0 = 17 + b + -1b2 -3a + 3ab = 17 + b + -1b2 Reorder the terms: -17 + -3a + 3ab + -1b + b2 = 17 + b + -1b2 + -17 + -1b + b2 Reorder the terms: -17 + -3a + 3ab + -1b + b2 = 17 + -17 + b + -1b + -1b2 + b2 Combine like terms: 17 + -17 = 0 -17 + -3a + 3ab + -1b + b2 = 0 + b + -1b + -1b2 + b2 -17 + -3a + 3ab + -1b + b2 = b + -1b + -1b2 + b2 Combine like terms: b + -1b = 0 -17 + -3a + 3ab + -1b + b2 = 0 + -1b2 + b2 -17 + -3a + 3ab + -1b + b2 = -1b2 + b2 Combine like terms: -1b2 + b2 = 0 -17 + -3a + 3ab + -1b + b2 = 0 The solution to this equation could not be determined.
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