u^2+13.4u+32.56=0

Simple and best practice solution for u^2+13.4u+32.56=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+13.4u+32.56=0 equation: 


Simplifying
u2 + 13.4u + 32.56 = 0

Reorder the terms:
32.56 + 13.4u + u2 = 0

Solving
32.56 + 13.4u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-32.56' to each side of the equation.
32.56 + 13.4u + -32.56 + u2 = 0 + -32.56

Reorder the terms:
32.56 + -32.56 + 13.4u + u2 = 0 + -32.56

Combine like terms: 32.56 + -32.56 = 0.00
0.00 + 13.4u + u2 = 0 + -32.56
13.4u + u2 = 0 + -32.56

Combine like terms: 0 + -32.56 = -32.56
13.4u + u2 = -32.56

The u term is 13.4u.  Take half its coefficient (6.7).
Square it (44.89) and add it to both sides.

Add '44.89' to each side of the equation.
13.4u + 44.89 + u2 = -32.56 + 44.89

Reorder the terms:
44.89 + 13.4u + u2 = -32.56 + 44.89

Combine like terms: -32.56 + 44.89 = 12.33
44.89 + 13.4u + u2 = 12.33

Factor a perfect square on the left side:
(u + 6.7)(u + 6.7) = 12.33

Calculate the square root of the right side: 3.511409973

Break this problem into two subproblems by setting 
(u + 6.7) equal to 3.511409973 and -3.511409973.


Subproblem 1
u + 6.7 = 3.511409973

Simplifying
u + 6.7 = 3.511409973

Reorder the terms:
6.7 + u = 3.511409973

Solving
6.7 + u = 3.511409973

Solving for variable 'u'.

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

Add '-6.7' to each side of the equation.
6.7 + -6.7 + u = 3.511409973 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + u = 3.511409973 + -6.7
u = 3.511409973 + -6.7

Combine like terms: 3.511409973 + -6.7 = -3.188590027
u = -3.188590027

Simplifying
u = -3.188590027


Subproblem 2
u + 6.7 = -3.511409973

Simplifying
u + 6.7 = -3.511409973

Reorder the terms:
6.7 + u = -3.511409973

Solving
6.7 + u = -3.511409973

Solving for variable 'u'.

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

Add '-6.7' to each side of the equation.
6.7 + -6.7 + u = -3.511409973 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + u = -3.511409973 + -6.7
u = -3.511409973 + -6.7

Combine like terms: -3.511409973 + -6.7 = -10.211409973
u = -10.211409973

Simplifying
u = -10.211409973


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {-3.188590027, -10.211409973}

See similar equations:

| 6c+(-6c)= | | 192=4x+x^2 | | 3x-7y+5z=-3 | | 16=2y-8 | | 3x-5=4-2x+3 | | 1/3x-3/3x | | 4X=X+A | | y^2=30-y | | 12x^2-63x-54=0 | | (81.66)X(2*81.66+5)=0 | | 6x+14=-2x-19 | | 10x^2+21x+11=0 | | 12.47=0.53m+9.82 | | 12.47= | | 9x-4x=3x-16 | | 94=6a+10 | | 8x+46=64 | | u^2-67u+636.5=0 | | 8x+44=66 | | (x-5)*((x^2)+4)=0 | | 8x+44=64 | | x(6+x)-2x+1-5x=4-2.0 | | -24+y=-42 | | x-12+10x+14=11x-3+-3x+2 | | 40=1s+6 | | v=4(3.14)33/3 | | -24+y=42 | | 30/w=45/3.6 | | 86=9L+5 | | 84.8/=10.6 | | 9a=65+b | | 81.66x(2*81.66+5)= |

Equations solver categories