x^2-1.6x+0.64=3

Simple and best practice solution for x^2-1.6x+0.64=3 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+0.64=3 equation: 


Simplifying
x2 + -1.6x + 0.64 = 3

Reorder the terms:
0.64 + -1.6x + x2 = 3

Solving
0.64 + -1.6x + x2 = 3

Solving for variable 'x'.

Reorder the terms:
0.64 + -3 + -1.6x + x2 = 3 + -3

Combine like terms: 0.64 + -3 = -2.36
-2.36 + -1.6x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-2.36 + -1.6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2.36' to each side of the equation.
-2.36 + -1.6x + 2.36 + x2 = 0 + 2.36

Reorder the terms:
-2.36 + 2.36 + -1.6x + x2 = 0 + 2.36

Combine like terms: -2.36 + 2.36 = 0.00
0.00 + -1.6x + x2 = 0 + 2.36
-1.6x + x2 = 0 + 2.36

Combine like terms: 0 + 2.36 = 2.36
-1.6x + x2 = 2.36

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 = 2.36 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = 2.36 + 0.64

Combine like terms: 2.36 + 0.64 = 3
0.64 + -1.6x + x2 = 3

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = 3

Calculate the square root of the right side: 1.732050808

Break this problem into two subproblems by setting 
(x + -0.8) equal to 1.732050808 and -1.732050808.


Subproblem 1
x + -0.8 = 1.732050808

Simplifying
x + -0.8 = 1.732050808

Reorder the terms:
-0.8 + x = 1.732050808

Solving
-0.8 + x = 1.732050808

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 = 1.732050808 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = 1.732050808 + 0.8
x = 1.732050808 + 0.8

Combine like terms: 1.732050808 + 0.8 = 2.532050808
x = 2.532050808

Simplifying
x = 2.532050808


Subproblem 2
x + -0.8 = -1.732050808

Simplifying
x + -0.8 = -1.732050808

Reorder the terms:
-0.8 + x = -1.732050808

Solving
-0.8 + x = -1.732050808

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 = -1.732050808 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = -1.732050808 + 0.8
x = -1.732050808 + 0.8

Combine like terms: -1.732050808 + 0.8 = -0.932050808
x = -0.932050808

Simplifying
x = -0.932050808


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.532050808, -0.932050808}

See similar equations:

| 5i/(2-i) | | 5(r-1)=2r+4 | | 9-5x=x+1 | | 6(4t-1)=42 | | 13.5=2*3.14*r | | 16d+13d= | | 14.5=2*3.14*r | | 15.5=2*3.14*r | | (x+1)(4x-3)+(x+4)(2x)=102 | | 7+21=3y-3 | | Y=3x^2+6x-4 | | 5y+11=3y+21 | | 9x=153-8x | | Abs(-10x-3)=13 | | X-8-10=20 | | d(sin(2x)/dx | | 0.08*x=50 | | X-8+10=20 | | X+8-10=20 | | 4(x+2)-6(3x+2)=x+2(-x-2) | | X+8+10=20 | | 11x-9=42 | | 4x+16=7x+10 | | 15y-4+2y+5=360 | | 7x-16=5x+4 | | 1x+-1=0.5x+2 | | 9(x+3)-6=22-4x-1+13x | | 4cos(pi/4(x)) | | 7k-5m-k=0 | | 3(4f-1)= | | -5x+x^2=0 | | (120-15)*5= |

Equations solver categories