0=(800+20x)(60-x)

Simple and best practice solution for 0=(800+20x)(60-x) 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 0=(800+20x)(60-x) equation: 


Simplifying
0 = (800 + 20x)(60 + -1x)

Multiply (800 + 20x) * (60 + -1x)
0 = (800(60 + -1x) + 20x * (60 + -1x))
0 = ((60 * 800 + -1x * 800) + 20x * (60 + -1x))
0 = ((48000 + -800x) + 20x * (60 + -1x))
0 = (48000 + -800x + (60 * 20x + -1x * 20x))
0 = (48000 + -800x + (1200x + -20x2))

Combine like terms: -800x + 1200x = 400x
0 = (48000 + 400x + -20x2)

Solving
0 = 48000 + 400x + -20x2

Solving for variable 'x'.

Combine like terms: 0 + -48000 = -48000
-48000 + -400x + 20x2 = 48000 + 400x + -20x2 + -48000 + -400x + 20x2

Reorder the terms:
-48000 + -400x + 20x2 = 48000 + -48000 + 400x + -400x + -20x2 + 20x2

Combine like terms: 48000 + -48000 = 0
-48000 + -400x + 20x2 = 0 + 400x + -400x + -20x2 + 20x2
-48000 + -400x + 20x2 = 400x + -400x + -20x2 + 20x2

Combine like terms: 400x + -400x = 0
-48000 + -400x + 20x2 = 0 + -20x2 + 20x2
-48000 + -400x + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-48000 + -400x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-2400 + -20x + x2) = 0

Factor a trinomial.
20((-40 + -1x)(60 + -1x)) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve:

Simplifying
-40 + -1x = 0

Solving
-40 + -1x = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1x = 0 + 40
-1x = 0 + 40

Combine like terms: 0 + 40 = 40
-1x = 40

Divide each side by '-1'.
x = -40

Simplifying
x = -40

Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {-40, 60}

See similar equations:

| r-3=16 | | 1/2x=1:8 | | w/4-2=2 | | (4-x)(2x-1)=0 | | -y+12=2y+3 | | 15x18x16/3 | | 19=2b | | (6y+4)-(3+5y)=6 | | -2x-2y=10fory | | 3x+y-2z=0 | | 10-(4x-3)=6-5x | | x^2+3+-2=0 | | 9(3k-4)=450 | | 4x+13+2x+18+7x+12=180 | | 3b-2=1 | | 11(x-y)3+18x-38= | | 11(x-10)=132 | | 62+2x+x+38.5=180 | | 6(2k+7)=138 | | -x-(13+4x)=-(5-9x)+2 | | 6x+4=4(2x-5(x-2)) | | x+82+x-19+x=180 | | 9(3x-2)whenx=2 | | Sin(b)=.4848 | | 7-(y-2)=2y | | 1/11*55 | | 4(k-6)=16 | | 200=7+x | | -2z=4+-12 | | 18x/17 | | Sinx=5/8 | | 4*7+2= |

Equations solver categories