(x-m)(m+x)=nx^2-25

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Solution for (x-m)(m+x)=nx^2-25 equation: 


Simplifying
(x + -1m)(m + x) = nx2 + -25

Reorder the terms:
(-1m + x)(m + x) = nx2 + -25

Multiply (-1m + x) * (m + x)
(-1m * (m + x) + x(m + x)) = nx2 + -25
((m * -1m + x * -1m) + x(m + x)) = nx2 + -25

Reorder the terms:
((-1mx + -1m2) + x(m + x)) = nx2 + -25
((-1mx + -1m2) + x(m + x)) = nx2 + -25
(-1mx + -1m2 + (m * x + x * x)) = nx2 + -25
(-1mx + -1m2 + (mx + x2)) = nx2 + -25

Reorder the terms:
(-1mx + mx + -1m2 + x2) = nx2 + -25

Combine like terms: -1mx + mx = 0
(0 + -1m2 + x2) = nx2 + -25
(-1m2 + x2) = nx2 + -25

Reorder the terms:
-1m2 + x2 = -25 + nx2

Solving
-1m2 + x2 = -25 + nx2

Solving for variable 'm'.

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

Add '-1x2' to each side of the equation.
-1m2 + x2 + -1x2 = -25 + nx2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1m2 + 0 = -25 + nx2 + -1x2
-1m2 = -25 + nx2 + -1x2

Divide each side by '-1'.
m2 = 25 + -1nx2 + x2

Simplifying
m2 = 25 + -1nx2 + x2

Reorder the terms:
-25 + m2 + nx2 + -1x2 = 25 + -1nx2 + x2 + -25 + nx2 + -1x2

Reorder the terms:
-25 + m2 + nx2 + -1x2 = 25 + -25 + -1nx2 + nx2 + x2 + -1x2

Combine like terms: 25 + -25 = 0
-25 + m2 + nx2 + -1x2 = 0 + -1nx2 + nx2 + x2 + -1x2
-25 + m2 + nx2 + -1x2 = -1nx2 + nx2 + x2 + -1x2

Combine like terms: -1nx2 + nx2 = 0
-25 + m2 + nx2 + -1x2 = 0 + x2 + -1x2
-25 + m2 + nx2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + m2 + nx2 + -1x2 = 0

The solution to this equation could not be determined.

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