u^2-14u=-39

Simple and best practice solution for u^2-14u=-39 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 u^2-14u=-39 equation: 


Simplifying
u2 + -14u = -39

Reorder the terms:
-14u + u2 = -39

Solving
-14u + u2 = -39

Solving for variable 'u'.

Reorder the terms:
39 + -14u + u2 = -39 + 39

Combine like terms: -39 + 39 = 0
39 + -14u + u2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + -14u + -39 + u2 = 0 + -39

Reorder the terms:
39 + -39 + -14u + u2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -14u + u2 = 0 + -39
-14u + u2 = 0 + -39

Combine like terms: 0 + -39 = -39
-14u + u2 = -39

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

Add '49' to each side of the equation.
-14u + 49 + u2 = -39 + 49

Reorder the terms:
49 + -14u + u2 = -39 + 49

Combine like terms: -39 + 49 = 10
49 + -14u + u2 = 10

Factor a perfect square on the left side:
(u + -7)(u + -7) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(u + -7) equal to 3.16227766 and -3.16227766.


Subproblem 1
u + -7 = 3.16227766

Simplifying
u + -7 = 3.16227766

Reorder the terms:
-7 + u = 3.16227766

Solving
-7 + u = 3.16227766

Solving for variable 'u'.

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

Add '7' to each side of the equation.
-7 + 7 + u = 3.16227766 + 7

Combine like terms: -7 + 7 = 0
0 + u = 3.16227766 + 7
u = 3.16227766 + 7

Combine like terms: 3.16227766 + 7 = 10.16227766
u = 10.16227766

Simplifying
u = 10.16227766


Subproblem 2
u + -7 = -3.16227766

Simplifying
u + -7 = -3.16227766

Reorder the terms:
-7 + u = -3.16227766

Solving
-7 + u = -3.16227766

Solving for variable 'u'.

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

Add '7' to each side of the equation.
-7 + 7 + u = -3.16227766 + 7

Combine like terms: -7 + 7 = 0
0 + u = -3.16227766 + 7
u = -3.16227766 + 7

Combine like terms: -3.16227766 + 7 = 3.83772234
u = 3.83772234

Simplifying
u = 3.83772234


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {10.16227766, 3.83772234}

See similar equations:

| 17x+3=6x+7 | | x+8+2x=46 | | 19x+7y+6+20x-4y-4= | | -7-3=5x+7-4x | | -(2x-3)-(-4x+24)=-6x+3 | | (-3/4)x-1/2=-2/7 | | 9x^2-22x+45=0 | | 17x+3=5x+7 | | y^2-6x+7=0 | | -4/3=(1/4)x-8/5 | | 3/7x28 | | 3(5h-6)=72 | | 8-12=z/-7 | | 3xy+6x-5y-10= | | 54-3x=12-9x | | 9w-11w=14 | | 3v+4=12-v | | 7-8x-3=-66+4x-14 | | 0.25x+5=0.25x-3 | | 34+p-112=78-7 | | -7x+7=-21 | | 2-6x/2 | | -4/3=(1/4)x-1/8 | | (7/2)*x*y=36 | | 8-9x-4=-42+5x-10 | | 1x-4.36x=68.60 | | 20=(-4/5)x | | (3x-2)=88 | | -2x-13=7x+14 | | ay+4=dy-5 | | 6-5=4-3 | | (3a)(2a-25)=180 |

Equations solver categories