(2x+c)(cx+5)=6x+d

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Solution for (2x+c)(cx+5)=6x+d equation:


Simplifying
(2x + c)(cx + 5) = 6x + d

Reorder the terms:
(c + 2x)(cx + 5) = 6x + d

Reorder the terms:
(c + 2x)(5 + cx) = 6x + d

Multiply (c + 2x) * (5 + cx)
(c(5 + cx) + 2x * (5 + cx)) = 6x + d
((5 * c + cx * c) + 2x * (5 + cx)) = 6x + d
((5c + c2x) + 2x * (5 + cx)) = 6x + d
(5c + c2x + (5 * 2x + cx * 2x)) = 6x + d

Reorder the terms:
(5c + c2x + (2cx2 + 10x)) = 6x + d
(5c + c2x + (2cx2 + 10x)) = 6x + d

Reorder the terms:
(5c + 2cx2 + c2x + 10x) = 6x + d
(5c + 2cx2 + c2x + 10x) = 6x + d

Reorder the terms:
5c + 2cx2 + c2x + 10x = d + 6x

Solving
5c + 2cx2 + c2x + 10x = d + 6x

Solving for variable 'c'.

Reorder the terms:
5c + 2cx2 + c2x + -1d + 10x + -6x = d + 6x + -1d + -6x

Combine like terms: 10x + -6x = 4x
5c + 2cx2 + c2x + -1d + 4x = d + 6x + -1d + -6x

Reorder the terms:
5c + 2cx2 + c2x + -1d + 4x = d + -1d + 6x + -6x

Combine like terms: d + -1d = 0
5c + 2cx2 + c2x + -1d + 4x = 0 + 6x + -6x
5c + 2cx2 + c2x + -1d + 4x = 6x + -6x

Combine like terms: 6x + -6x = 0
5c + 2cx2 + c2x + -1d + 4x = 0

The solution to this equation could not be determined.

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