X^2+0.1X-0.4=0

Simple and best practice solution for X^2+0.1X-0.4=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+0.1X-0.4=0 equation: 


Simplifying
X2 + 0.1X + -0.4 = 0

Reorder the terms:
-0.4 + 0.1X + X2 = 0

Solving
-0.4 + 0.1X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + 0.1X + 0.4 + X2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + 0.1X + X2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.1X + X2 = 0 + 0.4
0.1X + X2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
0.1X + X2 = 0.4

The X term is 0.1X.  Take half its coefficient (0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
0.1X + 0.0025 + X2 = 0.4 + 0.0025

Reorder the terms:
0.0025 + 0.1X + X2 = 0.4 + 0.0025

Combine like terms: 0.4 + 0.0025 = 0.4025
0.0025 + 0.1X + X2 = 0.4025

Factor a perfect square on the left side:
(X + 0.05)(X + 0.05) = 0.4025

Calculate the square root of the right side: 0.634428877

Break this problem into two subproblems by setting 
(X + 0.05) equal to 0.634428877 and -0.634428877.


Subproblem 1
X + 0.05 = 0.634428877

Simplifying
X + 0.05 = 0.634428877

Reorder the terms:
0.05 + X = 0.634428877

Solving
0.05 + X = 0.634428877

Solving for variable 'X'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + X = 0.634428877 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + X = 0.634428877 + -0.05
X = 0.634428877 + -0.05

Combine like terms: 0.634428877 + -0.05 = 0.584428877
X = 0.584428877

Simplifying
X = 0.584428877


Subproblem 2
X + 0.05 = -0.634428877

Simplifying
X + 0.05 = -0.634428877

Reorder the terms:
0.05 + X = -0.634428877

Solving
0.05 + X = -0.634428877

Solving for variable 'X'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + X = -0.634428877 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + X = -0.634428877 + -0.05
X = -0.634428877 + -0.05

Combine like terms: -0.634428877 + -0.05 = -0.684428877
X = -0.684428877

Simplifying
X = -0.684428877


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {0.584428877, -0.684428877}

See similar equations:

| -4a-3= | | 2x-5=-y | | (8000/8)+(961-64*3/2) | | -3a-6= | | 1/2x=(x+12)1/3 | | 801=f+617 | | 3x^3+8x^2-16x= | | 6=r/18 | | -43+2y+9=2(3y-2)-6 | | 1/2x=(x+12)1/2 | | 2.06d+18=-10.84 | | 11+(22-3^2)/4*5 | | 4(x+3)-(2s-6)= | | x-(18)=28 | | -a/8.06+7.02=18.4 | | (3(y-3))/4=-2y | | 6x^2=66x-60 | | s=9(11) | | x-(-18)=9 | | t=3n+3z | | -x-(4/5)=x+(1/2)+(2/5) | | 13/2x+4=-9 | | (16/4x-4)=(4/x) | | d=9(9) | | .59+.45t=1.74t-1.13 | | 5x-4=3y-2 | | 4n+4=-16 | | -x-(4/5)=x | | 2/3(4/5-3x)=-7/9 | | r/6=9 | | 2b+2.8=10.8+3.6b | | x^3-20x^2-64x-768=0 |

Equations solver categories