(x+b)(x+b)=(x+c)(x+d)

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


Simplifying
(x + b)(x + b) = (x + c)(x + d)

Reorder the terms:
(b + x)(x + b) = (x + c)(x + d)

Reorder the terms:
(b + x)(b + x) = (x + c)(x + d)

Multiply (b + x) * (b + x)
(b(b + x) + x(b + x)) = (x + c)(x + d)
((b * b + x * b) + x(b + x)) = (x + c)(x + d)

Reorder the terms:
((bx + b2) + x(b + x)) = (x + c)(x + d)
((bx + b2) + x(b + x)) = (x + c)(x + d)
(bx + b2 + (b * x + x * x)) = (x + c)(x + d)
(bx + b2 + (bx + x2)) = (x + c)(x + d)

Reorder the terms:
(bx + bx + b2 + x2) = (x + c)(x + d)

Combine like terms: bx + bx = 2bx
(2bx + b2 + x2) = (x + c)(x + d)

Reorder the terms:
2bx + b2 + x2 = (c + x)(x + d)

Reorder the terms:
2bx + b2 + x2 = (c + x)(d + x)

Multiply (c + x) * (d + x)
2bx + b2 + x2 = (c(d + x) + x(d + x))
2bx + b2 + x2 = ((d * c + x * c) + x(d + x))
2bx + b2 + x2 = ((cd + cx) + x(d + x))
2bx + b2 + x2 = (cd + cx + (d * x + x * x))
2bx + b2 + x2 = (cd + cx + (dx + x2))
2bx + b2 + x2 = (cd + cx + dx + x2)

Add '-1x2' to each side of the equation.
2bx + b2 + x2 + -1x2 = cd + cx + dx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2bx + b2 + 0 = cd + cx + dx + x2 + -1x2
2bx + b2 = cd + cx + dx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2bx + b2 = cd + cx + dx + 0
2bx + b2 = cd + cx + dx

Solving
2bx + b2 = cd + cx + dx

Solving for variable 'b'.

Reorder the terms:
2bx + b2 + -1cd + -1cx + -1dx = cd + -1cd + cx + -1cx + dx + -1dx

Combine like terms: cd + -1cd = 0
2bx + b2 + -1cd + -1cx + -1dx = 0 + cx + -1cx + dx + -1dx
2bx + b2 + -1cd + -1cx + -1dx = cx + -1cx + dx + -1dx

Combine like terms: cx + -1cx = 0
2bx + b2 + -1cd + -1cx + -1dx = 0 + dx + -1dx
2bx + b2 + -1cd + -1cx + -1dx = dx + -1dx

Combine like terms: dx + -1dx = 0
2bx + b2 + -1cd + -1cx + -1dx = 0

The solution to this equation could not be determined.

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