(x+m^3)+(x-m^3)=(2x^3)+(12m^3)

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Solution for (x+m^3)+(x-m^3)=(2x^3)+(12m^3) equation:


Simplifying
(x + m3) + (x + -1m3) = (2x3) + (12m3)

Reorder the terms:
(m3 + x) + (x + -1m3) = (2x3) + (12m3)

Remove parenthesis around (m3 + x)
m3 + x + (x + -1m3) = (2x3) + (12m3)

Reorder the terms:
m3 + x + (-1m3 + x) = (2x3) + (12m3)

Remove parenthesis around (-1m3 + x)
m3 + x + -1m3 + x = (2x3) + (12m3)

Reorder the terms:
m3 + -1m3 + x + x = (2x3) + (12m3)

Combine like terms: m3 + -1m3 = 0
0 + x + x = (2x3) + (12m3)
x + x = (2x3) + (12m3)

Combine like terms: x + x = 2x
2x = (2x3) + (12m3)

Reorder the terms:
2x = (12m3) + (2x3)

Solving
2x = (12m3) + (2x3)

Solving for variable 'x'.

Reorder the terms:
(-12m3) + 2x + (-2x3) = (12m3) + (2x3) + (-12m3) + (-2x3)

Reorder the terms:
(-12m3) + 2x + (-2x3) = (12m3) + (-12m3) + (2x3) + (-2x3)

Combine like terms: (12m3) + (-12m3) = 0
(-12m3) + 2x + (-2x3) = 0 + (2x3) + (-2x3)
(-12m3) + 2x + (-2x3) = (2x3) + (-2x3)

Combine like terms: (2x3) + (-2x3) = 0
(-12m3) + 2x + (-2x3) = 0

Factor out the Greatest Common Factor (GCF), '2'.
2((-6m3) + x + (-1x3)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '((-6m3) + x + (-1x3))' equal to zero and attempt to solve: Simplifying (-6m3) + x + (-1x3) = 0 Solving (-6m3) + x + (-1x3) = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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