4x^2-8x+0.25=0

Simple and best practice solution for 4x^2-8x+0.25=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 4x^2-8x+0.25=0 equation:


Simplifying
4x2 + -8x + 0.25 = 0

Reorder the terms:
0.25 + -8x + 4x2 = 0

Solving
0.25 + -8x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
0.0625 + -2x + x2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + -2x + -0.0625 + x2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + -2x + x2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + -2x + x2 = 0 + -0.0625
-2x + x2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
-2x + x2 = -0.0625

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -0.0625 + 1

Reorder the terms:
1 + -2x + x2 = -0.0625 + 1

Combine like terms: -0.0625 + 1 = 0.9375
1 + -2x + x2 = 0.9375

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.9375

Calculate the square root of the right side: 0.968245837

Break this problem into two subproblems by setting 
(x + -1) equal to 0.968245837 and -0.968245837.

Subproblem 1

x + -1 = 0.968245837 Simplifying x + -1 = 0.968245837 Reorder the terms: -1 + x = 0.968245837 Solving -1 + x = 0.968245837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0.968245837 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0.968245837 + 1 x = 0.968245837 + 1 Combine like terms: 0.968245837 + 1 = 1.968245837 x = 1.968245837 Simplifying x = 1.968245837

Subproblem 2

x + -1 = -0.968245837 Simplifying x + -1 = -0.968245837 Reorder the terms: -1 + x = -0.968245837 Solving -1 + x = -0.968245837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -0.968245837 + 1 Combine like terms: -1 + 1 = 0 0 + x = -0.968245837 + 1 x = -0.968245837 + 1 Combine like terms: -0.968245837 + 1 = 0.031754163 x = 0.031754163 Simplifying x = 0.031754163

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.968245837, 0.031754163}

See similar equations:

| 5d-4.5=16 | | 2x+13=254 | | n/64-4=2 | | 3x^5+5x^3-8=0 | | X+2x+3x-4=26 | | 2=75h+10 | | p-5/2=3 | | -29=-5x+3(-x+1) | | (n-8)/3=9 | | -10x+10=-2x+5 | | -7x-7(-3x+12)=-182 | | 8(1/2x-1/4)=12-2x | | n-8/3=9 | | -(3x+2)+(x-1)=-(2x-2)-(2x-1) | | 21=7z-9z | | 8v=16/9 | | 18s+22=14 | | -[6x-(3x+6)]=-3-[4(2x-4)-3x] | | 80=10(n+4) | | 56-2n=36 | | 7x+20=y | | 15+3x=8x | | 3/5-2=2/3-1 | | -8=1(-9)+b | | 25=5.8(x) | | -7x+3(6x+11)=99 | | -2=2(2n+1) | | 1-x^2=-3x^2 | | 7(1+5u)= | | p-6/2=5 | | x+2x-143=0 | | 2m+5-7=5m-2-3m |

Equations solver categories