C(x)=2000x+100x-0.5x^2

Simple and best practice solution for C(x)=2000x+100x-0.5x^2 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 C(x)=2000x+100x-0.5x^2 equation: 


Simplifying
C(x) = 2000x + 100x + -0.5x2

Multiply C * x
xC = 2000x + 100x + -0.5x2

Combine like terms: 2000x + 100x = 2100x
xC = 2100x + -0.5x2

Solving
xC = 2100x + -0.5x2

Solving for variable 'x'.

Reorder the terms:
-2100x + xC + 0.5x2 = 2100x + -0.5x2 + -2100x + 0.5x2

Reorder the terms:
-2100x + xC + 0.5x2 = 2100x + -2100x + -0.5x2 + 0.5x2

Combine like terms: 2100x + -2100x = 0
-2100x + xC + 0.5x2 = 0 + -0.5x2 + 0.5x2
-2100x + xC + 0.5x2 = -0.5x2 + 0.5x2

Combine like terms: -0.5x2 + 0.5x2 = 0.0
-2100x + xC + 0.5x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2100 + C + 0.5x) = 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 '(-2100 + C + 0.5x)' equal to zero and attempt to solve:

Simplifying
-2100 + C + 0.5x = 0

Solving
-2100 + C + 0.5x = 0

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

Add '2100' to each side of the equation.
-2100 + C + 2100 + 0.5x = 0 + 2100

Reorder the terms:
-2100 + 2100 + C + 0.5x = 0 + 2100

Combine like terms: -2100 + 2100 = 0
0 + C + 0.5x = 0 + 2100
C + 0.5x = 0 + 2100

Combine like terms: 0 + 2100 = 2100
C + 0.5x = 2100

Add '-1C' to each side of the equation.
C + -1C + 0.5x = 2100 + -1C

Combine like terms: C + -1C = 0
0 + 0.5x = 2100 + -1C
0.5x = 2100 + -1C

Divide each side by '0.5'.
x = 4200 + -2C

Simplifying
x = 4200 + -2C
Solution
x = {0, 4200 + -2C}

See similar equations:

| 9a+12=57 | | 6(x+4)=4x+40 | | 5+3-3k=-6 | | .6b+5=20-b | | -2(3x+2)-5= | | 25u-15=63-14u | | -16c=112 | | .04x=5 | | -8+18=7-15+y | | ln(8x^4)=24 | | 7/8x=112 | | 9x+y=100 | | 16-3p=.6p+5 | | 7x-6x+4=10-13 | | 3/4x36 | | 2-4x=x+10 | | .6x-.58x=3 | | h(t)=-20+11(11) | | 4x+7-8x=15-9x+15x-8 | | 8ysquared-6y-10=0 | | a+18=12 | | 2(x-3)-15=x-(3x-3) | | m=s-cfors | | z=10(8) | | 3/10n/4n^2/8 | | x-9=3x-8 | | sin(x)+cos(x)+2*sqrt(2)*(sin(x)*cos(x))=0 | | 3x^2-17x-5=1 | | 8x-2=2x-5*6 | | 8x-2=2x-58 | | 3(y+3)+2y=19 | | x^2+3x+280=0 |

Equations solver categories