x^2-38x+353=0

Simple and best practice solution for x^2-38x+353=0 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 x^2-38x+353=0 equation: 


Simplifying
x2 + -38x + 353 = 0

Reorder the terms:
353 + -38x + x2 = 0

Solving
353 + -38x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-353' to each side of the equation.
353 + -38x + -353 + x2 = 0 + -353

Reorder the terms:
353 + -353 + -38x + x2 = 0 + -353

Combine like terms: 353 + -353 = 0
0 + -38x + x2 = 0 + -353
-38x + x2 = 0 + -353

Combine like terms: 0 + -353 = -353
-38x + x2 = -353

The x term is -38x.  Take half its coefficient (-19).
Square it (361) and add it to both sides.

Add '361' to each side of the equation.
-38x + 361 + x2 = -353 + 361

Reorder the terms:
361 + -38x + x2 = -353 + 361

Combine like terms: -353 + 361 = 8
361 + -38x + x2 = 8

Factor a perfect square on the left side:
(x + -19)(x + -19) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + -19) equal to 2.828427125 and -2.828427125.


Subproblem 1
x + -19 = 2.828427125

Simplifying
x + -19 = 2.828427125

Reorder the terms:
-19 + x = 2.828427125

Solving
-19 + x = 2.828427125

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + x = 2.828427125 + 19

Combine like terms: -19 + 19 = 0
0 + x = 2.828427125 + 19
x = 2.828427125 + 19

Combine like terms: 2.828427125 + 19 = 21.828427125
x = 21.828427125

Simplifying
x = 21.828427125


Subproblem 2
x + -19 = -2.828427125

Simplifying
x + -19 = -2.828427125

Reorder the terms:
-19 + x = -2.828427125

Solving
-19 + x = -2.828427125

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + x = -2.828427125 + 19

Combine like terms: -19 + 19 = 0
0 + x = -2.828427125 + 19
x = -2.828427125 + 19

Combine like terms: -2.828427125 + 19 = 16.171572875
x = 16.171572875

Simplifying
x = 16.171572875


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {21.828427125, 16.171572875}

See similar equations:

| 19-4(x+8)=39 | | 2/5/2/3= | | 2/5*3/2= | | 8b+9+4b-(3b)+(-2b)-(-5)= | | x^2+14x+66=0 | | 4+4[5(3-1)]= | | 4p-2c+2p+8c= | | -3(r-5)=28 | | 4p-2p+2c+8c= | | -12=0.1x-0.7x | | 15r+5=89 | | 3a+2b=45 | | (6+8i)(6-8i)= | | x+2y=131 | | Y+2=years | | 3t+7=-16 | | 3t+7=16 | | 1/2y-4/7=17y-9/2 | | 2x-9=6x+5x | | 0.7x-0.5x=6.6 | | d-5=-19 | | 3+7=5x-3x | | 20=14-y | | 0.1x=1.2x | | 2-4=2y | | 8x-(6x+12)=2-(2x-9) | | x-4x=5+2x | | 3y^2+13y-30=0 | | 13000000=x+(x+.15) | | 3(x-9)=-21 | | -7/4x=-63/8 | | f(1)=x^2-2x+7 |

Equations solver categories