X^2+11X-38.35=0

Simple and best practice solution for X^2+11X-38.35=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-38.35=0 equation: 


Simplifying
X2 + 11X + -38.35 = 0

Reorder the terms:
-38.35 + 11X + X2 = 0

Solving
-38.35 + 11X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '38.35' to each side of the equation.
-38.35 + 11X + 38.35 + X2 = 0 + 38.35

Reorder the terms:
-38.35 + 38.35 + 11X + X2 = 0 + 38.35

Combine like terms: -38.35 + 38.35 = 0.00
0.00 + 11X + X2 = 0 + 38.35
11X + X2 = 0 + 38.35

Combine like terms: 0 + 38.35 = 38.35
11X + X2 = 38.35

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 = 38.35 + 30.25

Reorder the terms:
30.25 + 11X + X2 = 38.35 + 30.25

Combine like terms: 38.35 + 30.25 = 68.6
30.25 + 11X + X2 = 68.6

Factor a perfect square on the left side:
(X + 5.5)(X + 5.5) = 68.6

Calculate the square root of the right side: 8.282511696

Break this problem into two subproblems by setting 
(X + 5.5) equal to 8.282511696 and -8.282511696.


Subproblem 1
X + 5.5 = 8.282511696

Simplifying
X + 5.5 = 8.282511696

Reorder the terms:
5.5 + X = 8.282511696

Solving
5.5 + X = 8.282511696

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 = 8.282511696 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + X = 8.282511696 + -5.5
X = 8.282511696 + -5.5

Combine like terms: 8.282511696 + -5.5 = 2.782511696
X = 2.782511696

Simplifying
X = 2.782511696


Subproblem 2
X + 5.5 = -8.282511696

Simplifying
X + 5.5 = -8.282511696

Reorder the terms:
5.5 + X = -8.282511696

Solving
5.5 + X = -8.282511696

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 = -8.282511696 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + X = -8.282511696 + -5.5
X = -8.282511696 + -5.5

Combine like terms: -8.282511696 + -5.5 = -13.782511696
X = -13.782511696

Simplifying
X = -13.782511696


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {2.782511696, -13.782511696}

See similar equations:

| b^2+v-42=0 | | 2x^2+11x-5= | | 6+4n=-6+6n | | x=5sinx | | -4(-4x-3)=13 | | -7+9(-x+3)=-2+3 | | 4x+6=2x+3(x+2) | | x^2+5x+12= | | 3+6x=9x+4(-6+x) | | 7p=3p+32p | | -5y+2=-4x-6 | | g(x)=6x^3-41x^2-8x+7 | | 4(3a-2)-12=9(2a-1)+1 | | x^2+y^2+8y+18x+41=0 | | H(t)=-16t^2+4t+480 | | -4y-11=36 | | 2(v-1)=8v+6-2(-5v-1) | | 0.5*e^4x=13 | | 5x-6-8=24 | | Log(x)=y | | -3p-p=-4p+2p-12 | | 20j+20+20=8(4j-19) | | 1x+0.1x=-26.4 | | 5n-7=-53 | | 6x+9y-x+3y= | | 2x-6+3=4+x | | 7n-2n=15+8n | | 3(6z+6)=6(4+4z) | | 21h^3+14h=0 | | 8(1-9x)=5(19+3x) | | 15r=-20r+7(3r-4) | | 4p-1=-2p+5 |

Equations solver categories