(2m+1)x^2+5x-2m=-4

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Solution for (2m+1)x^2+5x-2m=-4 equation:


Simplifying
(2m + 1) * x2 + 5x + -2m = -4

Reorder the terms:
(1 + 2m) * x2 + 5x + -2m = -4

Reorder the terms for easier multiplication:
x2(1 + 2m) + 5x + -2m = -4
(1 * x2 + 2m * x2) + 5x + -2m = -4

Reorder the terms:
(2mx2 + 1x2) + 5x + -2m = -4
(2mx2 + 1x2) + 5x + -2m = -4

Reorder the terms:
-2m + 2mx2 + 5x + 1x2 = -4

Solving
-2m + 2mx2 + 5x + 1x2 = -4

Solving for variable 'm'.

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

Add '-5x' to each side of the equation.
-2m + 2mx2 + 5x + -5x + 1x2 = -4 + -5x

Combine like terms: 5x + -5x = 0
-2m + 2mx2 + 0 + 1x2 = -4 + -5x
-2m + 2mx2 + 1x2 = -4 + -5x

Add '-1x2' to each side of the equation.
-2m + 2mx2 + 1x2 + -1x2 = -4 + -5x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-2m + 2mx2 + 0 = -4 + -5x + -1x2
-2m + 2mx2 = -4 + -5x + -1x2

Reorder the terms:
4 + -2m + 2mx2 + 5x + x2 = -4 + -5x + -1x2 + 4 + 5x + x2

Reorder the terms:
4 + -2m + 2mx2 + 5x + x2 = -4 + 4 + -5x + 5x + -1x2 + x2

Combine like terms: -4 + 4 = 0
4 + -2m + 2mx2 + 5x + x2 = 0 + -5x + 5x + -1x2 + x2
4 + -2m + 2mx2 + 5x + x2 = -5x + 5x + -1x2 + x2

Combine like terms: -5x + 5x = 0
4 + -2m + 2mx2 + 5x + x2 = 0 + -1x2 + x2
4 + -2m + 2mx2 + 5x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4 + -2m + 2mx2 + 5x + x2 = 0

The solution to this equation could not be determined.

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