x^2-14x+28=0

Simple and best practice solution for x^2-14x+28=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^2-14x+28=0 equation: 


Simplifying
x2 + -14x + 28 = 0

Reorder the terms:
28 + -14x + x2 = 0

Solving
28 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + -14x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + -14x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -14x + x2 = 0 + -28
-14x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
-14x + x2 = -28

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -28 + 49

Reorder the terms:
49 + -14x + x2 = -28 + 49

Combine like terms: -28 + 49 = 21
49 + -14x + x2 = 21

Factor a perfect square on the left side:
(x + -7)(x + -7) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + -7) equal to 4.582575695 and -4.582575695.


Subproblem 1
x + -7 = 4.582575695

Simplifying
x + -7 = 4.582575695

Reorder the terms:
-7 + x = 4.582575695

Solving
-7 + x = 4.582575695

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 4.582575695 + 7

Combine like terms: -7 + 7 = 0
0 + x = 4.582575695 + 7
x = 4.582575695 + 7

Combine like terms: 4.582575695 + 7 = 11.582575695
x = 11.582575695

Simplifying
x = 11.582575695


Subproblem 2
x + -7 = -4.582575695

Simplifying
x + -7 = -4.582575695

Reorder the terms:
-7 + x = -4.582575695

Solving
-7 + x = -4.582575695

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -4.582575695 + 7

Combine like terms: -7 + 7 = 0
0 + x = -4.582575695 + 7
x = -4.582575695 + 7

Combine like terms: -4.582575695 + 7 = 2.417424305
x = 2.417424305

Simplifying
x = 2.417424305


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.582575695, 2.417424305}

See similar equations:

| 2m^2+9m+10=0 | | 2m^2+9+10=0 | | 7x+2y+8=0 | | (8+2x)*2=2+-10x | | 8x^2+5x=3 | | 6x+17=2x+93 | | 8x-11x(x-2)=-8 | | 2x+9=7x-2 | | 4x^2+25x-21=y | | 5x+19=x-73 | | -2x^2+x+1=0 | | 21=-2t+3 | | -2x^2+x+1=y | | 4x^2+32x+15=0 | | 3(x-2)+4=6x-17 | | 4x^2+32x+15=y | | 34x-.2.2=45 | | Y=4x^2+32x+15 | | 2y-3(5-y)=-60 | | 25x^2+60x=-36 | | 9x+8y=54 | | (5n-40)=8+n | | 2(x+6)-x=75 | | 9(5-x)=-3x | | -7=-16x | | 3a-1=b | | 10x-5=6x+3 | | 24x+27=-36x-10 | | 5b-2(b-8)=2+4b | | 4(z+5)=5+z | | 8y^2=16y | | -7x+7=56 |

Equations solver categories