u^2+u-52=0

Simple and best practice solution for u^2+u-52=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+u-52=0 equation: 


Simplifying
u2 + u + -52 = 0

Reorder the terms:
-52 + u + u2 = 0

Solving
-52 + u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '52' to each side of the equation.
-52 + u + 52 + u2 = 0 + 52

Reorder the terms:
-52 + 52 + u + u2 = 0 + 52

Combine like terms: -52 + 52 = 0
0 + u + u2 = 0 + 52
u + u2 = 0 + 52

Combine like terms: 0 + 52 = 52
u + u2 = 52

The u term is u.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
u + 0.25 + u2 = 52 + 0.25

Reorder the terms:
0.25 + u + u2 = 52 + 0.25

Combine like terms: 52 + 0.25 = 52.25
0.25 + u + u2 = 52.25

Factor a perfect square on the left side:
(u + 0.5)(u + 0.5) = 52.25

Calculate the square root of the right side: 7.228416147

Break this problem into two subproblems by setting 
(u + 0.5) equal to 7.228416147 and -7.228416147.


Subproblem 1
u + 0.5 = 7.228416147

Simplifying
u + 0.5 = 7.228416147

Reorder the terms:
0.5 + u = 7.228416147

Solving
0.5 + u = 7.228416147

Solving for variable 'u'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + u = 7.228416147 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + u = 7.228416147 + -0.5
u = 7.228416147 + -0.5

Combine like terms: 7.228416147 + -0.5 = 6.728416147
u = 6.728416147

Simplifying
u = 6.728416147


Subproblem 2
u + 0.5 = -7.228416147

Simplifying
u + 0.5 = -7.228416147

Reorder the terms:
0.5 + u = -7.228416147

Solving
0.5 + u = -7.228416147

Solving for variable 'u'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + u = -7.228416147 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + u = -7.228416147 + -0.5
u = -7.228416147 + -0.5

Combine like terms: -7.228416147 + -0.5 = -7.728416147
u = -7.728416147

Simplifying
u = -7.728416147


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {6.728416147, -7.728416147}

See similar equations:

| 3(x+2)=-2(x+4) | | -4(e+6)=-12 | | 4x+3=1x | | .65l+70=l | | 12x-5=24x+3 | | -4.65+0.19x=14.92 | | 20x-3+5x=22 | | 7y-5=9y+25 | | 0.12(y-6)+0.18y=0.04y-0.05(30) | | k-12=34 | | 4x^2+39x+56=0 | | -14=7(s-7) | | 15=(3h-1) | | 2-7[9-(6y-6)]= | | -4.65+0.19x=23.85 | | 7.4p-9.2p=-2.6+5.3 | | 5x^2-9x-80=0 | | -4+5x=-4x-4 | | Y-12=24 | | 7=4(5-2x)+3y | | 3(h-4)=-.5(24-6h) | | 7(3x-2)+18x+7=12x+7 | | (4n+17)+(n-2)=180 | | 9+t=14 | | (x+4)(x+4)+6=87 | | x+2=2x+15 | | 20+(-26)+34-(-37)-62= | | 10x^2+15x-8x-12=0 | | 3(x-3)+4(x)=9 | | 3*b-4=5v-2 | | (12x^2)-4x-5=0 | | 2(w-8)=4 |

Equations solver categories