x^2-0.75x+0.125=0

Simple and best practice solution for x^2-0.75x+0.125=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^2-0.75x+0.125=0 equation: 


Simplifying
x2 + -0.75x + 0.125 = 0

Reorder the terms:
0.125 + -0.75x + x2 = 0

Solving
0.125 + -0.75x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + -0.75x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + -0.75x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + -0.75x + x2 = 0 + -0.125
-0.75x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
-0.75x + x2 = -0.125

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.125 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.125 + 0.140625

Combine like terms: -0.125 + 0.140625 = 0.015625
0.140625 + -0.75x + x2 = 0.015625

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = 0.015625

Calculate the square root of the right side: 0.125

Break this problem into two subproblems by setting 
(x + -0.375) equal to 0.125 and -0.125.


Subproblem 1
x + -0.375 = 0.125

Simplifying
x + -0.375 = 0.125

Reorder the terms:
-0.375 + x = 0.125

Solving
-0.375 + x = 0.125

Solving for variable 'x'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x = 0.125 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x = 0.125 + 0.375
x = 0.125 + 0.375

Combine like terms: 0.125 + 0.375 = 0.5
x = 0.5

Simplifying
x = 0.5


Subproblem 2
x + -0.375 = -0.125

Simplifying
x + -0.375 = -0.125

Reorder the terms:
-0.375 + x = -0.125

Solving
-0.375 + x = -0.125

Solving for variable 'x'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x = -0.125 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x = -0.125 + 0.375
x = -0.125 + 0.375

Combine like terms: -0.125 + 0.375 = 0.25
x = 0.25

Simplifying
x = 0.25


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5, 0.25}

See similar equations:

| -5(20y)= | | 10y+43=9x | | 19-14x=6.4 | | x-0.75x+0.125=0 | | x^2=7x+5 | | 2n-4(n-3)=23 | | -4x+6=-46 | | -1.9-0.7= | | -1.9+0.7= | | 26=(30+24f) | | 7x^2-6x-1= | | 2.3x+36=0.3x | | R-4=-18 | | 6=3(x-9) | | 4x+x-9x= | | 0=0.986+0.026-6 | | 22x+8-25x=6-7 | | -2(x-2)=2 | | 10-5.9= | | -x+(9-2x)=39 | | y=x-19 | | 5p-6(3p-10)=3p+6 | | m-5=13 | | (10-8i)(2-3i)= | | 6x^2+19x-77=0 | | 2h-9h+5h= | | 3x+5=4-(4x-4) | | 5.9-10= | | (2.14+15)0.33=2*2.14-1 | | 3(2)-2(3)+5(2)=p | | -4.9x^2+20x-15=0 | | 3(2)-2(3)+5(2)= |

Equations solver categories