x^2-1.6x+0.04=0

Simple and best practice solution for x^2-1.6x+0.04=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^2-1.6x+0.04=0 equation: 


Simplifying
x2 + -1.6x + 0.04 = 0

Reorder the terms:
0.04 + -1.6x + x2 = 0

Solving
0.04 + -1.6x + 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 + -1.6x + -0.04 + x2 = 0 + -0.04

Reorder the terms:
0.04 + -0.04 + -1.6x + x2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -1.6x + x2 = 0 + -0.04
-1.6x + x2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
-1.6x + x2 = -0.04

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -0.04 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -0.04 + 0.64

Combine like terms: -0.04 + 0.64 = 0.6
0.64 + -1.6x + x2 = 0.6

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = 0.6

Calculate the square root of the right side: 0.774596669

Break this problem into two subproblems by setting 
(x + -0.8) equal to 0.774596669 and -0.774596669.


Subproblem 1
x + -0.8 = 0.774596669

Simplifying
x + -0.8 = 0.774596669

Reorder the terms:
-0.8 + x = 0.774596669

Solving
-0.8 + x = 0.774596669

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = 0.774596669 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = 0.774596669 + 0.8
x = 0.774596669 + 0.8

Combine like terms: 0.774596669 + 0.8 = 1.574596669
x = 1.574596669

Simplifying
x = 1.574596669


Subproblem 2
x + -0.8 = -0.774596669

Simplifying
x + -0.8 = -0.774596669

Reorder the terms:
-0.8 + x = -0.774596669

Solving
-0.8 + x = -0.774596669

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = -0.774596669 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = -0.774596669 + 0.8
x = -0.774596669 + 0.8

Combine like terms: -0.774596669 + 0.8 = 0.025403331
x = 0.025403331

Simplifying
x = 0.025403331


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.574596669, 0.025403331}

See similar equations:

| 5x-7x-90=0 | | 13=b+a | | 14q+14=23 | | 9x-15=-24 | | (-24)+x=70 | | 2a=4+8 | | 15x^2+16x+1= | | x+35=80 | | (6x+1)+(5x+1)=90 | | 12-(5y-9)= | | (5x-11)+(3x-7)=90 | | 93z^2m^2y-62z^2m^3y^2=0 | | 23=5x+2y | | x=1bx-63 | | 15y=p | | 720=8x+18y | | 125=25x+10y | | 36y-36=36 | | -4x-28*x+7+13=-183 | | 50r-14=60r-74 | | 6xy+4=3cfory | | 6xy+4=3cfory | | 2(-3m+6)-5(4-2m)=8 | | 16x-8+7x= | | 3(3k-1)=4(4k+1) | | t^4+2*t^3-8*t-16=0 | | 11+15=26 | | 3+7=x-1 | | x+-2x-4=5 | | 9+4+3ab= | | 1.175(40)=x | | r=18+2x |

Equations solver categories