249=2x+x^2

Simple and best practice solution for 249=2x+x^2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 249=2x+x^2 equation:


Simplifying
249 = 2x + x2

Solving
249 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
249 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
249 + -2x + -1x2 = 0 + x2 + -1x2
249 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
249 + -2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-249 + 2x + x2 = 0

Move the constant term to the right:

Add '249' to each side of the equation.
-249 + 2x + 249 + x2 = 0 + 249

Reorder the terms:
-249 + 249 + 2x + x2 = 0 + 249

Combine like terms: -249 + 249 = 0
0 + 2x + x2 = 0 + 249
2x + x2 = 0 + 249

Combine like terms: 0 + 249 = 249
2x + x2 = 249

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 249 + 1

Reorder the terms:
1 + 2x + x2 = 249 + 1

Combine like terms: 249 + 1 = 250
1 + 2x + x2 = 250

Factor a perfect square on the left side:
(x + 1)(x + 1) = 250

Calculate the square root of the right side: 15.811388301

Break this problem into two subproblems by setting 
(x + 1) equal to 15.811388301 and -15.811388301.

Subproblem 1

x + 1 = 15.811388301 Simplifying x + 1 = 15.811388301 Reorder the terms: 1 + x = 15.811388301 Solving 1 + x = 15.811388301 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 15.811388301 + -1 Combine like terms: 1 + -1 = 0 0 + x = 15.811388301 + -1 x = 15.811388301 + -1 Combine like terms: 15.811388301 + -1 = 14.811388301 x = 14.811388301 Simplifying x = 14.811388301

Subproblem 2

x + 1 = -15.811388301 Simplifying x + 1 = -15.811388301 Reorder the terms: 1 + x = -15.811388301 Solving 1 + x = -15.811388301 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -15.811388301 + -1 Combine like terms: 1 + -1 = 0 0 + x = -15.811388301 + -1 x = -15.811388301 + -1 Combine like terms: -15.811388301 + -1 = -16.811388301 x = -16.811388301 Simplifying x = -16.811388301

Solution

The solution to the problem is based on the solutions from the subproblems. x = {14.811388301, -16.811388301}

See similar equations:

| 0.2c=6 | | 0.2=6 | | 5x-3(2x+8)=-30 | | 130+5= | | -32=-20k+40-25 | | 3(y-10)=6 | | 10p+8=-19p-19 | | 10+8=-19p-19 | | 20p+8=-19p-19 | | 20p+8=-15p-19 | | 20p+4=-10p-19 | | 15p+8=-19p-19 | | 20p+4=-19p-19 | | 20p+2=-19p-19 | | -2-2(1-x)=-25-x | | 3-4h=5-2h | | -20p+8=-19p-19 | | -20p+11=-19p-19 | | 4c-3G-2c+c+1+2c= | | 28=-4x-6(x+7) | | 3(2g-1)=15 | | 2(-5y-7)+7y=-8 | | 79=5x+3(x-3) | | X-17=4x+1 | | 6e+2=2e+5 | | z^3-3z^2+(1+3i)z-6i+2=0 | | 2x-5=3x+18-5 | | 2x-2=8x | | x^2=5+2x | | 6x+1+7x-9=180 | | -3y=-6-x | | Y=5x^2+10x+3 |

Equations solver categories