x^2-10x+4=0

Simple and best practice solution for x^2-10x+4=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^2-10x+4=0 equation: 


Simplifying
x2 + -10x + 4 = 0

Reorder the terms:
4 + -10x + x2 = 0

Solving
4 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -10x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -10x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -10x + x2 = 0 + -4
-10x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-10x + x2 = -4

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -4 + 25

Reorder the terms:
25 + -10x + x2 = -4 + 25

Combine like terms: -4 + 25 = 21
25 + -10x + x2 = 21

Factor a perfect square on the left side:
(x + -5)(x + -5) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + -5) equal to 4.582575695 and -4.582575695.


Subproblem 1
x + -5 = 4.582575695

Simplifying
x + -5 = 4.582575695

Reorder the terms:
-5 + x = 4.582575695

Solving
-5 + x = 4.582575695

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 4.582575695 + 5

Combine like terms: -5 + 5 = 0
0 + x = 4.582575695 + 5
x = 4.582575695 + 5

Combine like terms: 4.582575695 + 5 = 9.582575695
x = 9.582575695

Simplifying
x = 9.582575695


Subproblem 2
x + -5 = -4.582575695

Simplifying
x + -5 = -4.582575695

Reorder the terms:
-5 + x = -4.582575695

Solving
-5 + x = -4.582575695

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -4.582575695 + 5

Combine like terms: -5 + 5 = 0
0 + x = -4.582575695 + 5
x = -4.582575695 + 5

Combine like terms: -4.582575695 + 5 = 0.417424305
x = 0.417424305

Simplifying
x = 0.417424305


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.582575695, 0.417424305}

See similar equations:

| 2n+4=100 | | Y^2+11Y+30=0 | | 6x+27=16x-53 | | (8x-7)(x-5)=0 | | n*12=300 | | x-73=10 | | -2(-6x+3)= | | -11x+6=-49 | | x^2+10x-7=0 | | 16x+22=18 | | 7p-2p^2-(3p+5p^2)= | | 2x-4=9x-65 | | 8+4x= | | 6=4x | | 7x^2+5x-8=0 | | (-8)(-3)(-2)(4)= | | 2x^2+9x+3=0 | | 6(a+8)= | | s^2+16=0 | | 8-5h=18 | | 11-19-4-(-8)= | | 3x^2+x-7=0 | | 7y-8=6y-4 | | 4*4*4-8*3= | | 6(4x-2)=3(8x+5) | | -4x+(-6)=14 | | 5x+8=109+8 | | 5x+8=-109+9x | | 15n+2-n=2 | | r^2-15r=-8r-10 | | 2x+34=9x-50 | | x/2+3/7=11/14 |

Equations solver categories