2kx^2+(m-1)x+k+2m=0

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

Simplifying
2kx2 + (m + -1) * x + k + 2m = 0

Reorder the terms:
2kx2 + (-1 + m) * x + k + 2m = 0

Reorder the terms for easier multiplication:
2kx2 + x(-1 + m) + k + 2m = 0
2kx2 + (-1 * x + m * x) + k + 2m = 0

Reorder the terms:
2kx2 + (mx + -1x) + k + 2m = 0
2kx2 + (mx + -1x) + k + 2m = 0

Reorder the terms:
k + 2kx2 + 2m + mx + -1x = 0

Solving
k + 2kx2 + 2m + mx + -1x = 0

Solving for variable 'k'.

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

Add '-2m' to each side of the equation.
k + 2kx2 + 2m + mx + -2m + -1x = 0 + -2m

Reorder the terms:
k + 2kx2 + 2m + -2m + mx + -1x = 0 + -2m

Combine like terms: 2m + -2m = 0
k + 2kx2 + 0 + mx + -1x = 0 + -2m
k + 2kx2 + mx + -1x = 0 + -2m
Remove the zero:
k + 2kx2 + mx + -1x = -2m

Add '-1mx' to each side of the equation.
k + 2kx2 + mx + -1mx + -1x = -2m + -1mx

Combine like terms: mx + -1mx = 0
k + 2kx2 + 0 + -1x = -2m + -1mx
k + 2kx2 + -1x = -2m + -1mx

Add 'x' to each side of the equation.
k + 2kx2 + -1x + x = -2m + -1mx + x

Combine like terms: -1x + x = 0
k + 2kx2 + 0 = -2m + -1mx + x
k + 2kx2 = -2m + -1mx + x

Reorder the terms:
k + 2kx2 + 2m + mx + -1x = -2m + 2m + -1mx + mx + x + -1x

Combine like terms: -2m + 2m = 0
k + 2kx2 + 2m + mx + -1x = 0 + -1mx + mx + x + -1x
k + 2kx2 + 2m + mx + -1x = -1mx + mx + x + -1x

Combine like terms: -1mx + mx = 0
k + 2kx2 + 2m + mx + -1x = 0 + x + -1x
k + 2kx2 + 2m + mx + -1x = x + -1x

Combine like terms: x + -1x = 0
k + 2kx2 + 2m + mx + -1x = 0

The solution to this equation could not be determined.