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Simplifying Xb + b = xb2 Reorder the terms: b + bX = xb2 Solving b + bX = b2x Solving for variable 'b'. Combine like terms: b2x + -1b2x = 0 b + bX + -1b2x = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(1 + X + -1bx) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(1 + X + -1bx)' equal to zero and attempt to solve: Simplifying 1 + X + -1bx = 0 Solving 1 + X + -1bx = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X + -1 + -1bx = 0 + -1 Reorder the terms: 1 + -1 + X + -1bx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X + -1bx = 0 + -1 X + -1bx = 0 + -1 Combine like terms: 0 + -1 = -1 X + -1bx = -1 Add '-1X' to each side of the equation. X + -1X + -1bx = -1 + -1X Combine like terms: X + -1X = 0 0 + -1bx = -1 + -1X -1bx = -1 + -1X Divide each side by '-1x'. b = x-1 + x-1X Simplifying b = x-1 + x-1XSolution
b = {0, x-1 + x-1X}
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