What is solvefor m,x^2-2(1-2m)x+2m+11>0 ?

The solution to solvefor m,x^2-2(1-2m)x+2m+11>0 is m>(-x^2-11+2x)/(2(1+2x));\quad x>-1/2

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solvefor m,x^2-2(1-2m)x+2m+11>0

solve for

m, x^{2} - 2 (1 - 2 m) x + 2 m + 11 > 0

m > \frac{- x ^{2} - 11 + 2 x}{2 ( 1 + 2 x )}; x > - \frac{1}{2}

Solution steps

x^{2} - 2 (1 - 2 m) x + 2 m + 11 > 0

Move

x^{2}

to the right side

- 2 (1 - 2 m) x + 2 m + 11 > - x^{2}

Move

11

to the right side

- 2 (1 - 2 m) x + 2 m > - x^{2} - 11

Expand

- 2 (1 - 2 m) x + 2 m : - 2 x + 4 m x + 2 m

- 2 x + 4 m x + 2 m > - x^{2} - 11

Move

2 x

to the right side

4 m x + 2 m > - x^{2} - 11 + 2 x

Factor

4 m x + 2 m : 2 m (2 x + 1)

2 m (2 x + 1) > - x^{2} - 11 + 2 x

Divide both sides by

2 (2 x + 1); x > - \frac{1}{2}

m > \frac{- x ^{2} - 11 + 2 x}{2 ( 1 + 2 x )}; x > - \frac{1}{2}

x, x + y < 11

x, x + y < 10

4 x - 13 > 2 x + 15

8 - 2 x > 0.4 x - 10

15 + a > 25

What is solvefor m,x^2-2(1-2m)x+2m+11>0 ?
The solution to solvefor m,x^2-2(1-2m)x+2m+11>0 is m>(-x^2-11+2x)/(2(1+2x));\quad x>-1/2