x(x^2-a)=m(x^2+2mx+a)

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Solution for x(x^2-a)=m(x^2+2mx+a) equation: 


Simplifying
x(x2 + -1a) = m(x2 + 2mx + a)

Reorder the terms:
x(-1a + x2) = m(x2 + 2mx + a)
(-1a * x + x2 * x) = m(x2 + 2mx + a)
(-1ax + x3) = m(x2 + 2mx + a)

Reorder the terms:
-1ax + x3 = m(a + 2mx + x2)
-1ax + x3 = (a * m + 2mx * m + x2 * m)

Reorder the terms:
-1ax + x3 = (am + mx2 + 2m2x)
-1ax + x3 = (am + mx2 + 2m2x)

Solving
-1ax + x3 = am + mx2 + 2m2x

Solving for variable 'a'.

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

Add '-1am' to each side of the equation.
-1ax + -1am + x3 = am + mx2 + -1am + 2m2x

Reorder the terms:
-1am + -1ax + x3 = am + mx2 + -1am + 2m2x

Reorder the terms:
-1am + -1ax + x3 = am + -1am + mx2 + 2m2x

Combine like terms: am + -1am = 0
-1am + -1ax + x3 = 0 + mx2 + 2m2x
-1am + -1ax + x3 = mx2 + 2m2x

Add '-1x3' to each side of the equation.
-1am + -1ax + x3 + -1x3 = mx2 + 2m2x + -1x3

Combine like terms: x3 + -1x3 = 0
-1am + -1ax + 0 = mx2 + 2m2x + -1x3
-1am + -1ax = mx2 + 2m2x + -1x3

Reorder the terms:
-1am + -1ax + -1mx2 + -2m2x + x3 = mx2 + -1mx2 + 2m2x + -2m2x + -1x3 + x3

Combine like terms: mx2 + -1mx2 = 0
-1am + -1ax + -1mx2 + -2m2x + x3 = 0 + 2m2x + -2m2x + -1x3 + x3
-1am + -1ax + -1mx2 + -2m2x + x3 = 2m2x + -2m2x + -1x3 + x3

Combine like terms: 2m2x + -2m2x = 0
-1am + -1ax + -1mx2 + -2m2x + x3 = 0 + -1x3 + x3
-1am + -1ax + -1mx2 + -2m2x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-1am + -1ax + -1mx2 + -2m2x + x3 = 0

The solution to this equation could not be determined.

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