8x^2-(3m+1)x+(3m-5)=0

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Solution for 8x^2-(3m+1)x+(3m-5)=0 equation: 


Simplifying
8x2 + -1(3m + 1) * x + (3m + -5) = 0

Reorder the terms:
8x2 + -1(1 + 3m) * x + (3m + -5) = 0

Reorder the terms for easier multiplication:
8x2 + -1x(1 + 3m) + (3m + -5) = 0
8x2 + (1 * -1x + 3m * -1x) + (3m + -5) = 0

Reorder the terms:
8x2 + (-3mx + -1x) + (3m + -5) = 0
8x2 + (-3mx + -1x) + (3m + -5) = 0

Reorder the terms:
8x2 + -3mx + -1x + (-5 + 3m) = 0

Remove parenthesis around (-5 + 3m)
8x2 + -3mx + -1x + -5 + 3m = 0

Reorder the terms:
-5 + 3m + -3mx + -1x + 8x2 = 0

Solving
-5 + 3m + -3mx + -1x + 8x2 = 0

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 3m + -3mx + -1x + 5 + 8x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3m + -3mx + -1x + 8x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3m + -3mx + -1x + 8x2 = 0 + 5
3m + -3mx + -1x + 8x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3m + -3mx + -1x + 8x2 = 5

Add 'x' to each side of the equation.
3m + -3mx + -1x + x + 8x2 = 5 + x

Combine like terms: -1x + x = 0
3m + -3mx + 0 + 8x2 = 5 + x
3m + -3mx + 8x2 = 5 + x

Add '-8x2' to each side of the equation.
3m + -3mx + 8x2 + -8x2 = 5 + x + -8x2

Combine like terms: 8x2 + -8x2 = 0
3m + -3mx + 0 = 5 + x + -8x2
3m + -3mx = 5 + x + -8x2

Reorder the terms:
-5 + 3m + -3mx + -1x + 8x2 = 5 + x + -8x2 + -5 + -1x + 8x2

Reorder the terms:
-5 + 3m + -3mx + -1x + 8x2 = 5 + -5 + x + -1x + -8x2 + 8x2

Combine like terms: 5 + -5 = 0
-5 + 3m + -3mx + -1x + 8x2 = 0 + x + -1x + -8x2 + 8x2
-5 + 3m + -3mx + -1x + 8x2 = x + -1x + -8x2 + 8x2

Combine like terms: x + -1x = 0
-5 + 3m + -3mx + -1x + 8x2 = 0 + -8x2 + 8x2
-5 + 3m + -3mx + -1x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-5 + 3m + -3mx + -1x + 8x2 = 0

The solution to this equation could not be determined.

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