10v^2-33vr+20r^2=0

Simple and best practice solution for 10v^2-33vr+20r^2=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 10v^2-33vr+20r^2=0 equation:


Simplifying
10v2 + -33vr + 20r2 = 0

Reorder the terms:
-33rv + 20r2 + 10v2 = 0

Solving
-33rv + 20r2 + 10v2 = 0

Solving for variable 'r'.

Factor a trinomial.
(4r + -5v)(5r + -2v) = 0


Subproblem 1
Set the factor '(4r + -5v)' equal to zero and attempt to solve:

Simplifying
4r + -5v = 0

Solving
4r + -5v = 0

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

Add '5v' to each side of the equation.
4r + -5v + 5v = 0 + 5v

Combine like terms: -5v + 5v = 0
4r + 0 = 0 + 5v
4r = 0 + 5v
Remove the zero:
4r = 5v

Divide each side by '4'.
r = 1.25v

Simplifying
r = 1.25v

Subproblem 2
Set the factor '(5r + -2v)' equal to zero and attempt to solve:

Simplifying
5r + -2v = 0

Solving
5r + -2v = 0

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

Add '2v' to each side of the equation.
5r + -2v + 2v = 0 + 2v

Combine like terms: -2v + 2v = 0
5r + 0 = 0 + 2v
5r = 0 + 2v
Remove the zero:
5r = 2v

Divide each side by '5'.
r = 0.4v

Simplifying
r = 0.4v
Solution
r = {1.25v, 0.4v}

See similar equations:

| 33(y-10)+29y+3(y-5)=945 | | 9=a/2 | | 50b^2+25b-3=0 | | 3y+3-2y=-45 | | 5/2y-1/y | | 0=-9.8(1.63)+vi | | 4+13n-2=7n+26-2n | | 3+5r=2r+4r | | 3(w+7)+4=-7 | | (X+6)(3x^2)= | | Y=4-3.5x | | 13=-6k-7k | | (5v+3)(8-v)=0 | | (2*3)+(6*15)= | | 2p-8=1+3p | | rxt=c | | 2/32=4 | | mx+4=x+4m^2 | | -.225x^2+2.56x-5.54=0 | | 5-2-1=5 | | X-28=8x | | 3k^2+8k-11= | | p(c)=3x^4-4x^2-7 | | 7x^4-134x^3+628x^2-906x+117=0 | | -4y/3=-28 | | y=4(-1)-4 | | y=-2(-1)+2 | | 4/5=-2v | | s+6*s+6=15 | | 8.5x=c+6y | | y=-6(-1)+6 | | 4z^2-15z+4=0 |

Equations solver categories