(6u^2-3u+4)+(-7u^2+2u+5)=

Simple and best practice solution for (6u^2-3u+4)+(-7u^2+2u+5)= 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 (6u^2-3u+4)+(-7u^2+2u+5)= equation:


Simplifying
(6u2 + -3u + 4) + (-7u2 + 2u + 5) = 0

Reorder the terms:
(4 + -3u + 6u2) + (-7u2 + 2u + 5) = 0

Remove parenthesis around (4 + -3u + 6u2)
4 + -3u + 6u2 + (-7u2 + 2u + 5) = 0

Reorder the terms:
4 + -3u + 6u2 + (5 + 2u + -7u2) = 0

Remove parenthesis around (5 + 2u + -7u2)
4 + -3u + 6u2 + 5 + 2u + -7u2 = 0

Reorder the terms:
4 + 5 + -3u + 2u + 6u2 + -7u2 = 0

Combine like terms: 4 + 5 = 9
9 + -3u + 2u + 6u2 + -7u2 = 0

Combine like terms: -3u + 2u = -1u
9 + -1u + 6u2 + -7u2 = 0

Combine like terms: 6u2 + -7u2 = -1u2
9 + -1u + -1u2 = 0

Solving
9 + -1u + -1u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-9 + u + u2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + u + 9 + u2 = 0 + 9

Reorder the terms:
-9 + 9 + u + u2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + u + u2 = 0 + 9
u + u2 = 0 + 9

Combine like terms: 0 + 9 = 9
u + u2 = 9

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.
 + 0.25 + u2 = 9 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + u2 = 9 + 0.25

Combine like terms: 9 + 0.25 = 9.25
1.25 + u2 = 9.25

Factor a perfect square on the left side:
(u + 0.5)(u + 0.5) = 9.25

Calculate the square root of the right side: 3.041381265

Break this problem into two subproblems by setting 
(u + 0.5) equal to 3.041381265 and -3.041381265.

Subproblem 1

u + 0.5 = 3.041381265 Simplifying u + 0.5 = 3.041381265 Reorder the terms: 0.5 + u = 3.041381265 Solving 0.5 + u = 3.041381265 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 = 3.041381265 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + u = 3.041381265 + -0.5 u = 3.041381265 + -0.5 Combine like terms: 3.041381265 + -0.5 = 2.541381265 u = 2.541381265 Simplifying u = 2.541381265

Subproblem 2

u + 0.5 = -3.041381265 Simplifying u + 0.5 = -3.041381265 Reorder the terms: 0.5 + u = -3.041381265 Solving 0.5 + u = -3.041381265 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 = -3.041381265 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + u = -3.041381265 + -0.5 u = -3.041381265 + -0.5 Combine like terms: -3.041381265 + -0.5 = -3.541381265 u = -3.541381265 Simplifying u = -3.541381265

Solution

The solution to the problem is based on the solutions from the subproblems. u = {2.541381265, -3.541381265}

See similar equations:

| 0=-16t^2+1936 | | 2y^2+7y-11-y^2-6y-9=0 | | x*X-6X-21=0 | | 5(t-5)+5t=5(2t+4)-11 | | f(x)=2-(x+7)+2x | | =2-(x+7)+2xf(x) | | 5(t-5)+5t=(2t+4)-11 | | 15=(-5/7)u | | (1/5y+6)(1/5y-7) | | -3(3s-4)-12=-3(5s+4)-3 | | 6x+2y=-10 | | 2u^2+u-11-u^2-2u-1=0 | | -15/16a=-5/4 | | 2s-6s=32 | | p*p-14p+18=0 | | (3x-2x-3)(x+4x+5)= | | b=p1-p2/w | | (9m-8w)(9m+8w)= | | 6t+19t=125 | | c=1/4*3.14m^2 | | 10x^3-35x^2+15x=0 | | z=sg | | y=-x^2-4x+1 | | 6(9x^2-6x+1)+4=14(3x-1) | | -69/6 | | (5w+3)(1+w)=0 | | 6*3x=428 | | (3x-5)(8x+3)=0 | | 3x^2+18x+3=0 | | wx-7z-2w+14=0 | | 428=6x(3) | | 3/10b+3/2 |

Equations solver categories