x^2-0.5x+0.04=

Simple and best practice solution for x^2-0.5x+0.04= 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^2-0.5x+0.04= equation: 


Simplifying
x2 + -0.5x + 0.04 = 0

Reorder the terms:
0.04 + -0.5x + x2 = 0

Solving
0.04 + -0.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.04' to each side of the equation.
0.04 + -0.5x + -0.04 + x2 = 0 + -0.04

Reorder the terms:
0.04 + -0.04 + -0.5x + x2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -0.5x + x2 = 0 + -0.04
-0.5x + x2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
-0.5x + x2 = -0.04

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.04 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.04 + 0.0625

Combine like terms: -0.04 + 0.0625 = 0.0225
0.0625 + -0.5x + x2 = 0.0225

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = 0.0225

Calculate the square root of the right side: 0.15

Break this problem into two subproblems by setting 
(x + -0.25) equal to 0.15 and -0.15.


Subproblem 1
x + -0.25 = 0.15

Simplifying
x + -0.25 = 0.15

Reorder the terms:
-0.25 + x = 0.15

Solving
-0.25 + x = 0.15

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = 0.15 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = 0.15 + 0.25
x = 0.15 + 0.25

Combine like terms: 0.15 + 0.25 = 0.4
x = 0.4

Simplifying
x = 0.4


Subproblem 2
x + -0.25 = -0.15

Simplifying
x + -0.25 = -0.15

Reorder the terms:
-0.25 + x = -0.15

Solving
-0.25 + x = -0.15

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = -0.15 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = -0.15 + 0.25
x = -0.15 + 0.25

Combine like terms: -0.15 + 0.25 = 0.1
x = 0.1

Simplifying
x = 0.1


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.4, 0.1}

See similar equations:

| 9y^2-8Y^2= | | 20*(6/5)= | | x^2y^2+8xy+12=0 | | h=154-10t-16t^2 | | -2-(-b)=6 | | 36x+35=539 | | 3(3+4x)-1=32 | | 89-3x=56 | | 3(9-b)=0 | | x^2+y^2-80x-60y-3700500=0 | | 10x-1=309 | | 20*6/5 | | 20(6/5*2) | | 8-1.3d=36.6 | | -21=7/6w | | 3x-1/2=5 | | 25/11 | | 120=5x+5[2x-3] | | z^2-1000+60775=0 | | -16+y+y=-16 | | 4(9-x)=16 | | 7x+9=9x | | 7x-22=-46+3x | | k^(1/2)=400 | | 5secx=13 | | 2.5x-9.55=8.2 | | 5(6x+3)=195 | | 8x+78=2x+132 | | 9x^3y^2/6xy^5 | | 41+x=403 | | 7x+4(2x+16)=154 | | 336+x=355 |

Equations solver categories