x^2+11x-38=0

Simple and best practice solution for x^2+11x-38=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+11x-38=0 equation: 


Simplifying
x2 + 11x + -38 = 0

Reorder the terms:
-38 + 11x + x2 = 0

Solving
-38 + 11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '38' to each side of the equation.
-38 + 11x + 38 + x2 = 0 + 38

Reorder the terms:
-38 + 38 + 11x + x2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 11x + x2 = 0 + 38
11x + x2 = 0 + 38

Combine like terms: 0 + 38 = 38
11x + x2 = 38

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = 38 + 30.25

Reorder the terms:
30.25 + 11x + x2 = 38 + 30.25

Combine like terms: 38 + 30.25 = 68.25
30.25 + 11x + x2 = 68.25

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = 68.25

Calculate the square root of the right side: 8.261355821

Break this problem into two subproblems by setting 
(x + 5.5) equal to 8.261355821 and -8.261355821.


Subproblem 1
x + 5.5 = 8.261355821

Simplifying
x + 5.5 = 8.261355821

Reorder the terms:
5.5 + x = 8.261355821

Solving
5.5 + x = 8.261355821

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = 8.261355821 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = 8.261355821 + -5.5
x = 8.261355821 + -5.5

Combine like terms: 8.261355821 + -5.5 = 2.761355821
x = 2.761355821

Simplifying
x = 2.761355821


Subproblem 2
x + 5.5 = -8.261355821

Simplifying
x + 5.5 = -8.261355821

Reorder the terms:
5.5 + x = -8.261355821

Solving
5.5 + x = -8.261355821

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = -8.261355821 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = -8.261355821 + -5.5
x = -8.261355821 + -5.5

Combine like terms: -8.261355821 + -5.5 = -13.761355821
x = -13.761355821

Simplifying
x = -13.761355821


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.761355821, -13.761355821}

See similar equations:

| 4x-62=6 | | y+x+1=1.15 | | 63-(59-24)=x | | -5(2y+2)-5=-5-4y | | 0=-2x^2+7x+4 | | 3/4*+1=16 | | x=(1+y) | | 3-4*+1=16 | | 3z+7=0 | | 17-2.98-4.12-3.07-1.96= | | 0=-7x^2+3x+7 | | 4=-6(2+2p)+2p | | (1200/250)*1.5= | | -(-9t+1)=-2(-9+6t)-6t | | 5(2B-3)=7 | | -(4p+2)=-(7-4p) | | 6-5x=-4 | | 10.4x+3.14=7.98 | | -2x-115=-9x+60 | | 7=-(1+2x)-5x | | 11x=12/5 | | x/9+2=13 | | 3/8a=12 | | 5=-2(1+6n)-3n | | -5x-6(3-6x)=6 | | -5(6n+2)=-5(-3-2n) | | 8Y-2X=10 | | 1/2x+9=11 | | 7(x-3)-6=-27 | | 3b+2b=15 | | 4x+6y=-20 | | 4x+10y-14+5y-8x+24= |

Equations solver categories