(b+c)x=bc

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Solution for (b+c)x=bc equation:


Simplifying
(b + c) * x = bc

Reorder the terms for easier multiplication:
x(b + c) = bc
(b * x + c * x) = bc
(bx + cx) = bc

Solving
bx + cx = bc

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1bc' to each side of the equation.
bx + -1bc + cx = bc + -1bc

Reorder the terms:
-1bc + bx + cx = bc + -1bc

Combine like terms: bc + -1bc = 0
-1bc + bx + cx = 0

Add '-1cx' to each side of the equation.
-1bc + bx + cx + -1cx = 0 + -1cx

Combine like terms: cx + -1cx = 0
-1bc + bx + 0 = 0 + -1cx
-1bc + bx = 0 + -1cx
Remove the zero:
-1bc + bx = -1cx

Combine like terms: -1cx + cx = 0
-1bc + bx + cx = 0

The solution to this equation could not be determined.

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