x*x+2(m-4)x+3m-2=0

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Solution for x*x+2(m-4)x+3m-2=0 equation: 


Simplifying
x * x + 2(m + -4) * x + 3m + -2 = 0

Multiply x * x
x2 + 2(m + -4) * x + 3m + -2 = 0

Reorder the terms:
x2 + 2(-4 + m) * x + 3m + -2 = 0

Reorder the terms for easier multiplication:
x2 + 2x(-4 + m) + 3m + -2 = 0
x2 + (-4 * 2x + m * 2x) + 3m + -2 = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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