x^2-7x+2=

Simple and best practice solution for x^2-7x+2= 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^2-7x+2= equation: 


Simplifying
x2 + -7x + 2 = 0

Reorder the terms:
2 + -7x + x2 = 0

Solving
2 + -7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -7x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -7x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x + x2 = 0 + -2
-7x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-7x + x2 = -2

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -2 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -2 + 12.25

Combine like terms: -2 + 12.25 = 10.25
12.25 + -7x + x2 = 10.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + -3.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
x + -3.5 = 3.201562119

Simplifying
x + -3.5 = 3.201562119

Reorder the terms:
-3.5 + x = 3.201562119

Solving
-3.5 + x = 3.201562119

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 3.201562119 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 3.201562119 + 3.5
x = 3.201562119 + 3.5

Combine like terms: 3.201562119 + 3.5 = 6.701562119
x = 6.701562119

Simplifying
x = 6.701562119


Subproblem 2
x + -3.5 = -3.201562119

Simplifying
x + -3.5 = -3.201562119

Reorder the terms:
-3.5 + x = -3.201562119

Solving
-3.5 + x = -3.201562119

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -3.201562119 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -3.201562119 + 3.5
x = -3.201562119 + 3.5

Combine like terms: -3.201562119 + 3.5 = 0.298437881
x = 0.298437881

Simplifying
x = 0.298437881


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.701562119, 0.298437881}

See similar equations:

| 9a+4=2a+4 | | -1-8x=9x+14 | | 3x-17+x+40+2x-5=180 | | x^2+8x+6= | | 13=2b-b+10 | | 6(-2-x)=-5(2x+4) | | 40-x=y | | -(y+4)+2y=4(2y-4)-(6y+1) | | 4y+2y=5y+1 | | 17x-23+19x=237 | | X^3-4*x^2-39*x+126=0 | | -x+9=14 | | 11=4x-2 | | x=4x+11 | | -34=6-4 | | 4a-8-a=10a-3a-8 | | -22x-9x-25=99 | | 23-x=-7 | | 4x+10=155-9x | | 3(x-2)+2(x+2)=5x-1 | | 96+21x=180 | | 7(t-3)+7=7(2+t)-12 | | 7x-3(-6)=30 | | 83-4x=5-8x | | 52+43+x=180 | | 6=-5(4x+2)+21x | | 3(x+2)=5-(x-9) | | 3x=-4+18 | | 4(d+1)=6d | | 21+34=x | | 2n^3=72 | | (x-2)(x-3)=(x+3)(x+4) |

Equations solver categories