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Simplifying 4x + bx = (b + 4)(b + 1) Reorder the terms: bx + 4x = (b + 4)(b + 1) Reorder the terms: bx + 4x = (4 + b)(b + 1) Reorder the terms: bx + 4x = (4 + b)(1 + b) Multiply (4 + b) * (1 + b) bx + 4x = (4(1 + b) + b(1 + b)) bx + 4x = ((1 * 4 + b * 4) + b(1 + b)) bx + 4x = ((4 + 4b) + b(1 + b)) bx + 4x = (4 + 4b + (1 * b + b * b)) bx + 4x = (4 + 4b + (1b + b2)) Combine like terms: 4b + 1b = 5b bx + 4x = (4 + 5b + b2) Solving bx + 4x = 4 + 5b + b2 Solving for variable 'b'. Reorder the terms: -4 + -5b + bx + -1b2 + 4x = 4 + 5b + b2 + -4 + -5b + -1b2 Reorder the terms: -4 + -5b + bx + -1b2 + 4x = 4 + -4 + 5b + -5b + b2 + -1b2 Combine like terms: 4 + -4 = 0 -4 + -5b + bx + -1b2 + 4x = 0 + 5b + -5b + b2 + -1b2 -4 + -5b + bx + -1b2 + 4x = 5b + -5b + b2 + -1b2 Combine like terms: 5b + -5b = 0 -4 + -5b + bx + -1b2 + 4x = 0 + b2 + -1b2 -4 + -5b + bx + -1b2 + 4x = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -4 + -5b + bx + -1b2 + 4x = 0 The solution to this equation could not be determined.
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