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Simplifying a + -4bx = (a + x)(a + 3y) Multiply (a + x) * (a + 3y) a + -4bx = (a(a + 3y) + x(a + 3y)) a + -4bx = ((a * a + 3y * a) + x(a + 3y)) Reorder the terms: a + -4bx = ((3ay + a2) + x(a + 3y)) a + -4bx = ((3ay + a2) + x(a + 3y)) a + -4bx = (3ay + a2 + (a * x + 3y * x)) a + -4bx = (3ay + a2 + (ax + 3xy)) Reorder the terms: a + -4bx = (ax + 3ay + a2 + 3xy) a + -4bx = (ax + 3ay + a2 + 3xy) Solving a + -4bx = ax + 3ay + a2 + 3xy Solving for variable 'a'. Reorder the terms: a + -1ax + -3ay + -1a2 + -4bx + -3xy = ax + 3ay + a2 + 3xy + -1ax + -3ay + -1a2 + -3xy Reorder the terms: a + -1ax + -3ay + -1a2 + -4bx + -3xy = ax + -1ax + 3ay + -3ay + a2 + -1a2 + 3xy + -3xy Combine like terms: ax + -1ax = 0 a + -1ax + -3ay + -1a2 + -4bx + -3xy = 0 + 3ay + -3ay + a2 + -1a2 + 3xy + -3xy a + -1ax + -3ay + -1a2 + -4bx + -3xy = 3ay + -3ay + a2 + -1a2 + 3xy + -3xy Combine like terms: 3ay + -3ay = 0 a + -1ax + -3ay + -1a2 + -4bx + -3xy = 0 + a2 + -1a2 + 3xy + -3xy a + -1ax + -3ay + -1a2 + -4bx + -3xy = a2 + -1a2 + 3xy + -3xy Combine like terms: a2 + -1a2 = 0 a + -1ax + -3ay + -1a2 + -4bx + -3xy = 0 + 3xy + -3xy a + -1ax + -3ay + -1a2 + -4bx + -3xy = 3xy + -3xy Combine like terms: 3xy + -3xy = 0 a + -1ax + -3ay + -1a2 + -4bx + -3xy = 0 The solution to this equation could not be determined.
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