x(mx+c)2=24

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Solution for x(mx+c)2=24 equation: 


Simplifying
x(mx + c) * 2 = 24

Reorder the terms:
x(c + mx) * 2 = 24

Reorder the terms for easier multiplication:
2x(c + mx) = 24
(c * 2x + mx * 2x) = 24
(2cx + 2mx2) = 24

Solving
2cx + 2mx2 = 24

Solving for variable 'c'.

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

Add '-2mx2' to each side of the equation.
2cx + 2mx2 + -2mx2 = 24 + -2mx2

Combine like terms: 2mx2 + -2mx2 = 0
2cx + 0 = 24 + -2mx2
2cx = 24 + -2mx2

Divide each side by '2x'.
c = 12x-1 + -1mx

Simplifying
c = 12x-1 + -1mx

Reorder the terms:
c = -1mx + 12x-1

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