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

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


Simplifying
x2 + (2m + -3) * x + 2m + 5 = 0

Reorder the terms:
x2 + (-3 + 2m) * x + 2m + 5 = 0

Reorder the terms for easier multiplication:
x2 + x(-3 + 2m) + 2m + 5 = 0
x2 + (-3 * x + 2m * x) + 2m + 5 = 0

Reorder the terms:
x2 + (2mx + -3x) + 2m + 5 = 0
x2 + (2mx + -3x) + 2m + 5 = 0

Reorder the terms:
5 + 2m + 2mx + -3x + x2 = 0

Solving
5 + 2m + 2mx + -3x + 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 + 2m + 2mx + -3x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 2m + 2mx + -3x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2m + 2mx + -3x + x2 = 0 + -5
2m + 2mx + -3x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
2m + 2mx + -3x + x2 = -5

Add '3x' to each side of the equation.
2m + 2mx + -3x + 3x + x2 = -5 + 3x

Combine like terms: -3x + 3x = 0
2m + 2mx + 0 + x2 = -5 + 3x
2m + 2mx + x2 = -5 + 3x

Add '-1x2' to each side of the equation.
2m + 2mx + x2 + -1x2 = -5 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
2m + 2mx + 0 = -5 + 3x + -1x2
2m + 2mx = -5 + 3x + -1x2

Reorder the terms:
5 + 2m + 2mx + -3x + x2 = -5 + 3x + -1x2 + 5 + -3x + x2

Reorder the terms:
5 + 2m + 2mx + -3x + x2 = -5 + 5 + 3x + -3x + -1x2 + x2

Combine like terms: -5 + 5 = 0
5 + 2m + 2mx + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
5 + 2m + 2mx + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
5 + 2m + 2mx + -3x + x2 = 0 + -1x2 + x2
5 + 2m + 2mx + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 2m + 2mx + -3x + x2 = 0

The solution to this equation could not be determined.

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