(m+2)(m^2+3m-6)+(m^2-2m+4)=

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Solution for (m+2)(m^2+3m-6)+(m^2-2m+4)= equation:


Simplifying
(m + 2)(m2 + 3m + -6) + (m2 + -2m + 4) = 0

Reorder the terms:
(2 + m)(m2 + 3m + -6) + (m2 + -2m + 4) = 0

Reorder the terms:
(2 + m)(-6 + 3m + m2) + (m2 + -2m + 4) = 0

Multiply (2 + m) * (-6 + 3m + m2)
(2(-6 + 3m + m2) + m(-6 + 3m + m2)) + (m2 + -2m + 4) = 0
((-6 * 2 + 3m * 2 + m2 * 2) + m(-6 + 3m + m2)) + (m2 + -2m + 4) = 0
((-12 + 6m + 2m2) + m(-6 + 3m + m2)) + (m2 + -2m + 4) = 0
(-12 + 6m + 2m2 + (-6 * m + 3m * m + m2 * m)) + (m2 + -2m + 4) = 0
(-12 + 6m + 2m2 + (-6m + 3m2 + m3)) + (m2 + -2m + 4) = 0

Reorder the terms:
(-12 + 6m + -6m + 2m2 + 3m2 + m3) + (m2 + -2m + 4) = 0

Combine like terms: 6m + -6m = 0
(-12 + 0 + 2m2 + 3m2 + m3) + (m2 + -2m + 4) = 0
(-12 + 2m2 + 3m2 + m3) + (m2 + -2m + 4) = 0

Combine like terms: 2m2 + 3m2 = 5m2
(-12 + 5m2 + m3) + (m2 + -2m + 4) = 0

Reorder the terms:
-12 + 5m2 + m3 + (4 + -2m + m2) = 0

Remove parenthesis around (4 + -2m + m2)
-12 + 5m2 + m3 + 4 + -2m + m2 = 0

Reorder the terms:
-12 + 4 + -2m + 5m2 + m2 + m3 = 0

Combine like terms: -12 + 4 = -8
-8 + -2m + 5m2 + m2 + m3 = 0

Combine like terms: 5m2 + m2 = 6m2
-8 + -2m + 6m2 + m3 = 0

Solving
-8 + -2m + 6m2 + m3 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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