R(x)=-0.1x^2+500x

Simple and best practice solution for R(x)=-0.1x^2+500x 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 R(x)=-0.1x^2+500x equation: 


Simplifying
R(x) = -0.1x2 + 500x

Multiply R * x
xR = -0.1x2 + 500x

Reorder the terms:
xR = 500x + -0.1x2

Solving
xR = 500x + -0.1x2

Solving for variable 'x'.

Reorder the terms:
-500x + xR + 0.1x2 = 500x + -0.1x2 + -500x + 0.1x2

Reorder the terms:
-500x + xR + 0.1x2 = 500x + -500x + -0.1x2 + 0.1x2

Combine like terms: 500x + -500x = 0
-500x + xR + 0.1x2 = 0 + -0.1x2 + 0.1x2
-500x + xR + 0.1x2 = -0.1x2 + 0.1x2

Combine like terms: -0.1x2 + 0.1x2 = 0.0
-500x + xR + 0.1x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-500 + R + 0.1x) = 0.0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-500 + R + 0.1x)' equal to zero and attempt to solve:

Simplifying
-500 + R + 0.1x = 0

Solving
-500 + R + 0.1x = 0

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

Add '500' to each side of the equation.
-500 + R + 500 + 0.1x = 0 + 500

Reorder the terms:
-500 + 500 + R + 0.1x = 0 + 500

Combine like terms: -500 + 500 = 0
0 + R + 0.1x = 0 + 500
R + 0.1x = 0 + 500

Combine like terms: 0 + 500 = 500
R + 0.1x = 500

Add '-1R' to each side of the equation.
R + -1R + 0.1x = 500 + -1R

Combine like terms: R + -1R = 0
0 + 0.1x = 500 + -1R
0.1x = 500 + -1R

Divide each side by '0.1'.
x = 5000 + -10R

Simplifying
x = 5000 + -10R
Solution
x = {0, 5000 + -10R}

See similar equations:

| (9(x)(x))-6-38=0 | | 6x-4=16x+1 | | (-3.4m)-5.5=4.7 | | (3y+2)(y^2+5y+4)= | | C(x)=10+200x | | -13x=12x+9 | | 5.8x-90=150 | | 0=4y^2-31 | | 5(2y-7)=-25 | | -88x+120x^3=0 | | 3+(9/3+3x4) | | x/4-x/5-1 | | =3+5(5t+1)+8 | | 3v+27+2v+35=360 | | 1-3x+4x=-8 | | x-96=x+96 | | 2+2=9 | | =(4m+3)9+6m | | 2+2n-9=5n | | 13u+50+2u+25=360 | | ((x+4)/(x-1))/((x^2+x)/(x-1)) | | 2+2n-9=5 | | 2p=3p-16 | | 6p-5=8+5p+10p | | 2x-5+5x=16 | | 3/x+2+5=28/x+2 | | x^2*3.14=6x+13.16 | | 6p-5=8+5p+10 | | xsquared-9x=0 | | 2x+-x+2=3-x+10 | | 4+x=400000 | | 3-x+5x=x+9 |

Equations solver categories