2x+x^2=228

Simple and best practice solution for 2x+x^2=228 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 2x+x^2=228 equation:


Simplifying
2x + x2 = 228

Solving
2x + x2 = 228

Solving for variable 'x'.

Reorder the terms:
-228 + 2x + x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-228 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '228' to each side of the equation.
-228 + 2x + 228 + x2 = 0 + 228

Reorder the terms:
-228 + 228 + 2x + x2 = 0 + 228

Combine like terms: -228 + 228 = 0
0 + 2x + x2 = 0 + 228
2x + x2 = 0 + 228

Combine like terms: 0 + 228 = 228
2x + x2 = 228

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 = 228 + 1

Reorder the terms:
1 + 2x + x2 = 228 + 1

Combine like terms: 228 + 1 = 229
1 + 2x + x2 = 229

Factor a perfect square on the left side:
(x + 1)(x + 1) = 229

Calculate the square root of the right side: 15.13274595

Break this problem into two subproblems by setting 
(x + 1) equal to 15.13274595 and -15.13274595.

Subproblem 1

x + 1 = 15.13274595 Simplifying x + 1 = 15.13274595 Reorder the terms: 1 + x = 15.13274595 Solving 1 + x = 15.13274595 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 = 15.13274595 + -1 Combine like terms: 1 + -1 = 0 0 + x = 15.13274595 + -1 x = 15.13274595 + -1 Combine like terms: 15.13274595 + -1 = 14.13274595 x = 14.13274595 Simplifying x = 14.13274595

Subproblem 2

x + 1 = -15.13274595 Simplifying x + 1 = -15.13274595 Reorder the terms: 1 + x = -15.13274595 Solving 1 + x = -15.13274595 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 = -15.13274595 + -1 Combine like terms: 1 + -1 = 0 0 + x = -15.13274595 + -1 x = -15.13274595 + -1 Combine like terms: -15.13274595 + -1 = -16.13274595 x = -16.13274595 Simplifying x = -16.13274595

Solution

The solution to the problem is based on the solutions from the subproblems. x = {14.13274595, -16.13274595}

See similar equations:

| 22k+13=8k+33 | | 2+10n=68 | | x/3.5+2.5*x/1000=1 | | (x+7)2=5 | | 2x+1=(4x-15) | | x=10+y+3 | | (7x^2)(2x^5+5)(x^2-4x-9)= | | 4x^2-8x+3y^2+12y+4=0 | | 15x-10=-9x+9 | | (2+i)(1+3i)=0 | | 10+y+3=x | | 4g+2g= | | 10+y-3=x | | 4x-4y+4=0 | | 3(6x-4)=4(3x+9) | | X+0.4444444444444444444=0.75 | | 18x-2(3x+1)=5x | | 2(-28+7y)=56 | | 5(3-3x)+x=15+2x | | (4x+12)=(5x-3) | | X^4(x-3)=2 | | .3x+.6=.25(x+3) | | -5+3b=3(b-1) | | 2x^2+3y^2-2x+6y+5=0 | | -8a=5-5a | | x^4-4x^3-6x^2+4x+5=0 | | 4a-7=-13 | | -10-x=-8(5+2x) | | 11z+8=8z+5 | | X=3+11 | | x^4-3x^3=2 | | 4x^2+40x=100 |

Equations solver categories