u^2+8u-28=0

Simple and best practice solution for u^2+8u-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 u^2+8u-28=0 equation: 


Simplifying
u2 + 8u + -28 = 0

Reorder the terms:
-28 + 8u + u2 = 0

Solving
-28 + 8u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '28' to each side of the equation.
-28 + 8u + 28 + u2 = 0 + 28

Reorder the terms:
-28 + 28 + 8u + u2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 8u + u2 = 0 + 28
8u + u2 = 0 + 28

Combine like terms: 0 + 28 = 28
8u + u2 = 28

The u term is 8u.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8u + 16 + u2 = 28 + 16

Reorder the terms:
16 + 8u + u2 = 28 + 16

Combine like terms: 28 + 16 = 44
16 + 8u + u2 = 44

Factor a perfect square on the left side:
(u + 4)(u + 4) = 44

Calculate the square root of the right side: 6.633249581

Break this problem into two subproblems by setting 
(u + 4) equal to 6.633249581 and -6.633249581.


Subproblem 1
u + 4 = 6.633249581

Simplifying
u + 4 = 6.633249581

Reorder the terms:
4 + u = 6.633249581

Solving
4 + u = 6.633249581

Solving for variable 'u'.

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

Add '-4' to each side of the equation.
4 + -4 + u = 6.633249581 + -4

Combine like terms: 4 + -4 = 0
0 + u = 6.633249581 + -4
u = 6.633249581 + -4

Combine like terms: 6.633249581 + -4 = 2.633249581
u = 2.633249581

Simplifying
u = 2.633249581


Subproblem 2
u + 4 = -6.633249581

Simplifying
u + 4 = -6.633249581

Reorder the terms:
4 + u = -6.633249581

Solving
4 + u = -6.633249581

Solving for variable 'u'.

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

Add '-4' to each side of the equation.
4 + -4 + u = -6.633249581 + -4

Combine like terms: 4 + -4 = 0
0 + u = -6.633249581 + -4
u = -6.633249581 + -4

Combine like terms: -6.633249581 + -4 = -10.633249581
u = -10.633249581

Simplifying
u = -10.633249581


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {2.633249581, -10.633249581}

See similar equations:

| 3x+11=8x+26 | | -6x+2-4x(x+1)=6x+3 | | 80=10r | | 6(3x+1)-4(-8x-5)=26 | | 2x/3-x/2=3x/4-5 | | -2(2+-1)=15 | | 12d=1440 | | 7(4x-2)+4(17-3x)=5(3x+1)-3 | | 6(x+8)-3(4x+3)=69 | | 3x/7x=12 | | -(7-7a)-(12+6a)-14=-(4-6a)+(-a)+3 | | u^2+8u+60=0 | | 5(x+4)+6(x-3)=24 | | a(a)+2(2)=3(3) | | 9a-5a+4= | | -108=-4(6a+3) | | Y^2+11y=18 | | a(a)+75(75)=76(76) | | 4(5x+3)=93 | | d=|-4-(-7/-4) | | 600=3w+d | | y=7.5x+40 | | x+190x(x)=380 | | 3t+5=6t+1 | | Y=k*9 | | 4d=53/4 | | -5(1-6a)=-245 | | 13-16n=-12n+12 | | -24x+5y=9y | | 9(9+y)=8(y-6) | | -103=x-4(-3x+3) | | 8=k*3 |

Equations solver categories