(2m+3)x^2+(4m-2)x-(m+1)=0

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Solution for (2m+3)x^2+(4m-2)x-(m+1)=0 equation: 


Simplifying
(2m + 3) * x2 + (4m + -2) * x + -1(m + 1) = 0

Reorder the terms:
(3 + 2m) * x2 + (4m + -2) * x + -1(m + 1) = 0

Reorder the terms for easier multiplication:
x2(3 + 2m) + (4m + -2) * x + -1(m + 1) = 0
(3 * x2 + 2m * x2) + (4m + -2) * x + -1(m + 1) = 0

Reorder the terms:
(2mx2 + 3x2) + (4m + -2) * x + -1(m + 1) = 0
(2mx2 + 3x2) + (4m + -2) * x + -1(m + 1) = 0

Reorder the terms:
2mx2 + 3x2 + (-2 + 4m) * x + -1(m + 1) = 0

Reorder the terms for easier multiplication:
2mx2 + 3x2 + x(-2 + 4m) + -1(m + 1) = 0
2mx2 + 3x2 + (-2 * x + 4m * x) + -1(m + 1) = 0

Reorder the terms:
2mx2 + 3x2 + (4mx + -2x) + -1(m + 1) = 0
2mx2 + 3x2 + (4mx + -2x) + -1(m + 1) = 0

Reorder the terms:
2mx2 + 3x2 + 4mx + -2x + -1(1 + m) = 0
2mx2 + 3x2 + 4mx + -2x + (1 * -1 + m * -1) = 0
2mx2 + 3x2 + 4mx + -2x + (-1 + -1m) = 0

Reorder the terms:
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0

Solving
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + -1m + 4mx + 2mx2 + -2x + 1 + 3x2 = 0 + 1

Reorder the terms:
-1 + 1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0 + 1
-1m + 4mx + 2mx2 + -2x + 3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1m + 4mx + 2mx2 + -2x + 3x2 = 1

Add '2x' to each side of the equation.
-1m + 4mx + 2mx2 + -2x + 2x + 3x2 = 1 + 2x

Combine like terms: -2x + 2x = 0
-1m + 4mx + 2mx2 + 0 + 3x2 = 1 + 2x
-1m + 4mx + 2mx2 + 3x2 = 1 + 2x

Add '-3x2' to each side of the equation.
-1m + 4mx + 2mx2 + 3x2 + -3x2 = 1 + 2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1m + 4mx + 2mx2 + 0 = 1 + 2x + -3x2
-1m + 4mx + 2mx2 = 1 + 2x + -3x2

Reorder the terms:
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 1 + 2x + -3x2 + -1 + -2x + 3x2

Reorder the terms:
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 1 + -1 + 2x + -2x + -3x2 + 3x2

Combine like terms: 1 + -1 = 0
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0 + 2x + -2x + -3x2 + 3x2
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0 + -3x2 + 3x2
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1 + -1m + 4mx + 2mx2 + -2x + 3x2 = 0

The solution to this equation could not be determined.

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