x^2+(m-8)x+(3m+2)=0

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Solution for x^2+(m-8)x+(3m+2)=0 equation: 


Simplifying
x2 + (m + -8) * x + (3m + 2) = 0

Reorder the terms:
x2 + (-8 + m) * x + (3m + 2) = 0

Reorder the terms for easier multiplication:
x2 + x(-8 + m) + (3m + 2) = 0
x2 + (-8 * x + m * x) + (3m + 2) = 0

Reorder the terms:
x2 + (mx + -8x) + (3m + 2) = 0
x2 + (mx + -8x) + (3m + 2) = 0

Reorder the terms:
x2 + mx + -8x + (2 + 3m) = 0

Remove parenthesis around (2 + 3m)
x2 + mx + -8x + 2 + 3m = 0

Reorder the terms:
2 + 3m + mx + -8x + x2 = 0

Solving
2 + 3m + mx + -8x + x2 = 0

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + 3m + mx + -8x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 3m + mx + -8x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m + mx + -8x + x2 = 0 + -2
3m + mx + -8x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
3m + mx + -8x + x2 = -2

Add '8x' to each side of the equation.
3m + mx + -8x + 8x + x2 = -2 + 8x

Combine like terms: -8x + 8x = 0
3m + mx + 0 + x2 = -2 + 8x
3m + mx + x2 = -2 + 8x

Add '-1x2' to each side of the equation.
3m + mx + x2 + -1x2 = -2 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
3m + mx + 0 = -2 + 8x + -1x2
3m + mx = -2 + 8x + -1x2

Reorder the terms:
2 + 3m + mx + -8x + x2 = -2 + 8x + -1x2 + 2 + -8x + x2

Reorder the terms:
2 + 3m + mx + -8x + x2 = -2 + 2 + 8x + -8x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + 3m + mx + -8x + x2 = 0 + 8x + -8x + -1x2 + x2
2 + 3m + mx + -8x + x2 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
2 + 3m + mx + -8x + x2 = 0 + -1x2 + x2
2 + 3m + mx + -8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 3m + mx + -8x + x2 = 0

The solution to this equation could not be determined.

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