3u^2+5u-4=0

Simple and best practice solution for 3u^2+5u-4=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 3u^2+5u-4=0 equation: 


Simplifying
3u2 + 5u + -4 = 0

Reorder the terms:
-4 + 5u + 3u2 = 0

Solving
-4 + 5u + 3u2 = 0

Solving for variable 'u'.

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

Divide each side by '3'.
-1.333333333 + 1.666666667u + u2 = 0

Move the constant term to the right:

Add '1.333333333' to each side of the equation.
-1.333333333 + 1.666666667u + 1.333333333 + u2 = 0 + 1.333333333

Reorder the terms:
-1.333333333 + 1.333333333 + 1.666666667u + u2 = 0 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
0.000000000 + 1.666666667u + u2 = 0 + 1.333333333
1.666666667u + u2 = 0 + 1.333333333

Combine like terms: 0 + 1.333333333 = 1.333333333
1.666666667u + u2 = 1.333333333

The u term is 1.666666667u.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667u + 0.6944444447 + u2 = 1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667u + u2 = 1.333333333 + 0.6944444447

Combine like terms: 1.333333333 + 0.6944444447 = 2.0277777777
0.6944444447 + 1.666666667u + u2 = 2.0277777777

Factor a perfect square on the left side:
(u + 0.8333333335)(u + 0.8333333335) = 2.0277777777

Calculate the square root of the right side: 1.424000624

Break this problem into two subproblems by setting 
(u + 0.8333333335) equal to 1.424000624 and -1.424000624.


Subproblem 1
u + 0.8333333335 = 1.424000624

Simplifying
u + 0.8333333335 = 1.424000624

Reorder the terms:
0.8333333335 + u = 1.424000624

Solving
0.8333333335 + u = 1.424000624

Solving for variable 'u'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + u = 1.424000624 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + u = 1.424000624 + -0.8333333335
u = 1.424000624 + -0.8333333335

Combine like terms: 1.424000624 + -0.8333333335 = 0.5906672905
u = 0.5906672905

Simplifying
u = 0.5906672905


Subproblem 2
u + 0.8333333335 = -1.424000624

Simplifying
u + 0.8333333335 = -1.424000624

Reorder the terms:
0.8333333335 + u = -1.424000624

Solving
0.8333333335 + u = -1.424000624

Solving for variable 'u'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + u = -1.424000624 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + u = -1.424000624 + -0.8333333335
u = -1.424000624 + -0.8333333335

Combine like terms: -1.424000624 + -0.8333333335 = -2.2573339575
u = -2.2573339575

Simplifying
u = -2.2573339575


Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {0.5906672905, -2.2573339575}

See similar equations:

| 3/4-1=5 | | -10(7)+7y=-70 | | -10(-7)+7y=-70 | | -10(-70)+7y=-70 | | 1x+1x=-6 | | -12+2x=x | | (3x-4)(x+1)-3x^2=4 | | 1/2+3=9 | | (-5/3-i)+(1+3/2i) | | ((2x^2)+5x-3)/((2x^2)-18) | | -10-x+y=7 | | 2x^2+2x-16=0 | | 2a+5s=41 | | 2(7t+8)+3(2t-1)=93 | | -14+5x=7x | | 2y+5x=4 | | 3(3p+3)3p=-3 | | 5x-2x=-6 | | 0.2y+5.23=-12.45 | | 4(2w+1)-3=17 | | -6y+-37=95 | | 50a^2-72=0 | | (1/(x+1))+(4/(x+7))=1 | | 3x+30=1x+20 | | 4/5x^2-5=0 | | 1-3x=-5 | | 3x=56-4x | | 2x+50=3x+40 | | 6(b-2)=54 | | x/z+4=12 | | 4(y+2)+2(3y-7)=3(3y-1) | | 39/3 |

Equations solver categories