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Simplifying 4x + 14 = (x + 4)(x + 5y) Reorder the terms: 14 + 4x = (x + 4)(x + 5y) Reorder the terms: 14 + 4x = (4 + x)(x + 5y) Multiply (4 + x) * (x + 5y) 14 + 4x = (4(x + 5y) + x(x + 5y)) 14 + 4x = ((x * 4 + 5y * 4) + x(x + 5y)) 14 + 4x = ((4x + 20y) + x(x + 5y)) 14 + 4x = (4x + 20y + (x * x + 5y * x)) Reorder the terms: 14 + 4x = (4x + 20y + (5xy + x2)) 14 + 4x = (4x + 20y + (5xy + x2)) Reorder the terms: 14 + 4x = (4x + 5xy + x2 + 20y) 14 + 4x = (4x + 5xy + x2 + 20y) Add '-4x' to each side of the equation. 14 + 4x + -4x = 4x + 5xy + x2 + -4x + 20y Combine like terms: 4x + -4x = 0 14 + 0 = 4x + 5xy + x2 + -4x + 20y 14 = 4x + 5xy + x2 + -4x + 20y Reorder the terms: 14 = 4x + -4x + 5xy + x2 + 20y Combine like terms: 4x + -4x = 0 14 = 0 + 5xy + x2 + 20y 14 = 5xy + x2 + 20y Solving 14 = 5xy + x2 + 20y Solving for variable 'x'. Reorder the terms: 14 + -5xy + -1x2 + -20y = 5xy + -5xy + x2 + -1x2 + 20y + -20y Combine like terms: 5xy + -5xy = 0 14 + -5xy + -1x2 + -20y = 0 + x2 + -1x2 + 20y + -20y 14 + -5xy + -1x2 + -20y = x2 + -1x2 + 20y + -20y Combine like terms: x2 + -1x2 = 0 14 + -5xy + -1x2 + -20y = 0 + 20y + -20y 14 + -5xy + -1x2 + -20y = 20y + -20y Combine like terms: 20y + -20y = 0 14 + -5xy + -1x2 + -20y = 0 The solution to this equation could not be determined.
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