4+u(2u+3)=0

Simple and best practice solution for 4+u(2u+3)=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 4+u(2u+3)=0 equation:


Simplifying
4 + u(2u + 3) = 0

Reorder the terms:
4 + u(3 + 2u) = 0
4 + (3 * u + 2u * u) = 0
4 + (3u + 2u2) = 0

Solving
4 + 3u + 2u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
2 + 1.5u + u2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.5u + -2 + u2 = 0 + -2

Reorder the terms:
2 + -2 + 1.5u + u2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.5u + u2 = 0 + -2
1.5u + u2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.5u + u2 = -2

The u term is 1.5u.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5u + 0.5625 + u2 = -2 + 0.5625

Reorder the terms:
0.5625 + 1.5u + u2 = -2 + 0.5625

Combine like terms: -2 + 0.5625 = -1.4375
0.5625 + 1.5u + u2 = -1.4375

Factor a perfect square on the left side:
(u + 0.75)(u + 0.75) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2c+3(0)=3 | | 12.9-6x=3.3 | | 8+5lnx=48 | | -18.9=y/7-1.4 | | 13=8+y/31.25 | | 0.1x+8.93=-0.3x+4.13 | | -11.4+2u=1.4 | | 2/3x9/10x4/6 | | n+4x-22=7n | | -6.5x=59.8 | | 16x^2yz^3+20xy^5z^3= | | 7x(xy^3+2z)= | | 2x-20=75 | | t^3-2t^2=0 | | x*2+3x+6=0 | | 36x^2-90x-216=0 | | 9(x+-1)+-9(x+3)=1 | | 2x+5=7x-6 | | 159=568y | | (x^2/27.5)+x-55=0 | | x+35+x+15+2x-20+2x+x=360 | | 13/4-5/6 | | 14769=8457y | | 8x+y=-15 | | 1/4x2/2 | | 19263827364872365+1-1-1-1-1-1-1-1-1-1-2109742938647782364874635872643587645y=1 | | 1=4-2 | | 9(x-1)-9(x+3)=1 | | h=16t^2+64t+192 | | 1=y | | (-1/(x+1))-(2/(x-1))=(3/(x^2-1)) | | 43289767543769852346785347685346782437865672678254768925486792546789254678254678234567854278692435786345786923457869542786254386794578y=1 |

Equations solver categories