2(2x+1)(m+2)-1=0

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

Simplifying
2(2x + 1)(m + 2) + -1 = 0

Reorder the terms:
2(1 + 2x)(m + 2) + -1 = 0

Reorder the terms:
2(1 + 2x)(2 + m) + -1 = 0

Multiply (1 + 2x) * (2 + m)
2(1(2 + m) + 2x * (2 + m)) + -1 = 0
2((2 * 1 + m * 1) + 2x * (2 + m)) + -1 = 0
2((2 + 1m) + 2x * (2 + m)) + -1 = 0
2(2 + 1m + (2 * 2x + m * 2x)) + -1 = 0

Reorder the terms:
2(2 + 1m + (2mx + 4x)) + -1 = 0
2(2 + 1m + (2mx + 4x)) + -1 = 0
2(2 + 1m + 2mx + 4x) + -1 = 0
(2 * 2 + 1m * 2 + 2mx * 2 + 4x * 2) + -1 = 0
(4 + 2m + 4mx + 8x) + -1 = 0

Reorder the terms:
4 + -1 + 2m + 4mx + 8x = 0

Combine like terms: 4 + -1 = 3
3 + 2m + 4mx + 8x = 0

Solving
3 + 2m + 4mx + 8x = 0

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + 2m + 4mx + -3 + 8x = 0 + -3

Reorder the terms:
3 + -3 + 2m + 4mx + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m + 4mx + 8x = 0 + -3
2m + 4mx + 8x = 0 + -3

Combine like terms: 0 + -3 = -3
2m + 4mx + 8x = -3

Add '-8x' to each side of the equation.
2m + 4mx + 8x + -8x = -3 + -8x

Combine like terms: 8x + -8x = 0
2m + 4mx + 0 = -3 + -8x
2m + 4mx = -3 + -8x

Reorder the terms:
3 + 2m + 4mx + 8x = -3 + -8x + 3 + 8x

Reorder the terms:
3 + 2m + 4mx + 8x = -3 + 3 + -8x + 8x

Combine like terms: -3 + 3 = 0
3 + 2m + 4mx + 8x = 0 + -8x + 8x
3 + 2m + 4mx + 8x = -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 2m + 4mx + 8x = 0

The solution to this equation could not be determined.