x^2+(7-m)x+3m-5=0

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Solution for x^2+(7-m)x+3m-5=0 equation: 


Simplifying
x2 + (7 + -1m) * x + 3m + -5 = 0

Reorder the terms for easier multiplication:
x2 + x(7 + -1m) + 3m + -5 = 0
x2 + (7 * x + -1m * x) + 3m + -5 = 0

Reorder the terms:
x2 + (-1mx + 7x) + 3m + -5 = 0
x2 + (-1mx + 7x) + 3m + -5 = 0

Reorder the terms:
-5 + 3m + -1mx + 7x + x2 = 0

Solving
-5 + 3m + -1mx + 7x + x2 = 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 + -1mx + 7x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3m + -1mx + 7x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3m + -1mx + 7x + x2 = 0 + 5
3m + -1mx + 7x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3m + -1mx + 7x + x2 = 5

Add '-7x' to each side of the equation.
3m + -1mx + 7x + -7x + x2 = 5 + -7x

Combine like terms: 7x + -7x = 0
3m + -1mx + 0 + x2 = 5 + -7x
3m + -1mx + x2 = 5 + -7x

Add '-1x2' to each side of the equation.
3m + -1mx + x2 + -1x2 = 5 + -7x + -1x2

Combine like terms: x2 + -1x2 = 0
3m + -1mx + 0 = 5 + -7x + -1x2
3m + -1mx = 5 + -7x + -1x2

Reorder the terms:
-5 + 3m + -1mx + 7x + x2 = 5 + -7x + -1x2 + -5 + 7x + x2

Reorder the terms:
-5 + 3m + -1mx + 7x + x2 = 5 + -5 + -7x + 7x + -1x2 + x2

Combine like terms: 5 + -5 = 0
-5 + 3m + -1mx + 7x + x2 = 0 + -7x + 7x + -1x2 + x2
-5 + 3m + -1mx + 7x + x2 = -7x + 7x + -1x2 + x2

Combine like terms: -7x + 7x = 0
-5 + 3m + -1mx + 7x + x2 = 0 + -1x2 + x2
-5 + 3m + -1mx + 7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + 3m + -1mx + 7x + x2 = 0

The solution to this equation could not be determined.

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