u^2+25=2u^2-13u+21

Simple and best practice solution for u^2+25=2u^2-13u+21 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+25=2u^2-13u+21 equation:


Simplifying
u2 + 25 = 2u2 + -13u + 21

Reorder the terms:
25 + u2 = 2u2 + -13u + 21

Reorder the terms:
25 + u2 = 21 + -13u + 2u2

Solving
25 + u2 = 21 + -13u + 2u2

Solving for variable 'u'.

Reorder the terms:
25 + -21 + 13u + u2 + -2u2 = 21 + -13u + 2u2 + -21 + 13u + -2u2

Combine like terms: 25 + -21 = 4
4 + 13u + u2 + -2u2 = 21 + -13u + 2u2 + -21 + 13u + -2u2

Combine like terms: u2 + -2u2 = -1u2
4 + 13u + -1u2 = 21 + -13u + 2u2 + -21 + 13u + -2u2

Reorder the terms:
4 + 13u + -1u2 = 21 + -21 + -13u + 13u + 2u2 + -2u2

Combine like terms: 21 + -21 = 0
4 + 13u + -1u2 = 0 + -13u + 13u + 2u2 + -2u2
4 + 13u + -1u2 = -13u + 13u + 2u2 + -2u2

Combine like terms: -13u + 13u = 0
4 + 13u + -1u2 = 0 + 2u2 + -2u2
4 + 13u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
4 + 13u + -1u2 = 0

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

Divide each side by '-1'.
-4 + -13u + u2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -13u + 4 + u2 = 0 + 4

Reorder the terms:
-4 + 4 + -13u + u2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -13u + u2 = 0 + 4
-13u + u2 = 0 + 4

Combine like terms: 0 + 4 = 4
-13u + u2 = 4

The u term is -13u.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13u + 42.25 + u2 = 4 + 42.25

Reorder the terms:
42.25 + -13u + u2 = 4 + 42.25

Combine like terms: 4 + 42.25 = 46.25
42.25 + -13u + u2 = 46.25

Factor a perfect square on the left side:
(u + -6.5)(u + -6.5) = 46.25

Calculate the square root of the right side: 6.800735254

Break this problem into two subproblems by setting 
(u + -6.5) equal to 6.800735254 and -6.800735254.

Subproblem 1

u + -6.5 = 6.800735254 Simplifying u + -6.5 = 6.800735254 Reorder the terms: -6.5 + u = 6.800735254 Solving -6.5 + u = 6.800735254 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + u = 6.800735254 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + u = 6.800735254 + 6.5 u = 6.800735254 + 6.5 Combine like terms: 6.800735254 + 6.5 = 13.300735254 u = 13.300735254 Simplifying u = 13.300735254

Subproblem 2

u + -6.5 = -6.800735254 Simplifying u + -6.5 = -6.800735254 Reorder the terms: -6.5 + u = -6.800735254 Solving -6.5 + u = -6.800735254 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + u = -6.800735254 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + u = -6.800735254 + 6.5 u = -6.800735254 + 6.5 Combine like terms: -6.800735254 + 6.5 = -0.300735254 u = -0.300735254 Simplifying u = -0.300735254

Solution

The solution to the problem is based on the solutions from the subproblems. u = {13.300735254, -0.300735254}

See similar equations:

| 13x-6(x-1)=-3-2x | | m-3m+8m-3= | | 7(3x-1)-(x+5)=-52 | | -(x+2)=-8 | | 5g+(-8+2g)=1-g | | 30+3x+10=-5 | | 7(x+5)=28 | | -4y=-10y | | x/4=-1/2 | | 2(x+3)=7(x+3) | | 0=5x+3y | | .4444x-.3333=.3333x+1.3333 | | 8+n=12 | | (-3)-2=6-2(+1) | | 2ci+1=-d+6-ci | | 12b+-34b= | | 7n=3-5n | | 11-(3x-6)+2(4x+5)= | | 5(3+6x)-1=104 | | 1/2(3p-1)=1.3 | | (3x+16)2=180 | | 8*(14+7)=x+(8*7) | | 0.04x=1 | | 4a=3a^2-12+6 | | 5(3+6x)-1= | | -5(b-8)= | | 2b-6+5=3b-3 | | 2x+2(40-20x)=14 | | 11-n=7 | | 14x=-12 | | X+6y=40 | | 4t-(7t-21)=3(7+t) |

Equations solver categories