2x^2-(2m-1)x-22=0

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Solution for 2x^2-(2m-1)x-22=0 equation:


Simplifying
2x2 + -1(2m + -1) * x + -22 = 0

Reorder the terms:
2x2 + -1(-1 + 2m) * x + -22 = 0

Reorder the terms for easier multiplication:
2x2 + -1x(-1 + 2m) + -22 = 0
2x2 + (-1 * -1x + 2m * -1x) + -22 = 0

Reorder the terms:
2x2 + (-2mx + 1x) + -22 = 0
2x2 + (-2mx + 1x) + -22 = 0

Reorder the terms:
-22 + -2mx + 1x + 2x2 = 0

Solving
-22 + -2mx + 1x + 2x2 = 0

Solving for variable 'm'.

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

Add '22' to each side of the equation.
-22 + -2mx + 1x + 22 + 2x2 = 0 + 22

Reorder the terms:
-22 + 22 + -2mx + 1x + 2x2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -2mx + 1x + 2x2 = 0 + 22
-2mx + 1x + 2x2 = 0 + 22

Combine like terms: 0 + 22 = 22
-2mx + 1x + 2x2 = 22

Add '-1x' to each side of the equation.
-2mx + 1x + -1x + 2x2 = 22 + -1x

Combine like terms: 1x + -1x = 0
-2mx + 0 + 2x2 = 22 + -1x
-2mx + 2x2 = 22 + -1x

Add '-2x2' to each side of the equation.
-2mx + 2x2 + -2x2 = 22 + -1x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2mx + 0 = 22 + -1x + -2x2
-2mx = 22 + -1x + -2x2

Divide each side by '-2x'.
m = -11x-1 + 0.5 + x

Simplifying
m = -11x-1 + 0.5 + x

Reorder the terms:
m = 0.5 + -11x-1 + x

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