600=(30-2x)(20-2x)

Simple and best practice solution for 600=(30-2x)(20-2x) 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 600=(30-2x)(20-2x) equation: 


Simplifying
600 = (30 + -2x)(20 + -2x)

Multiply (30 + -2x) * (20 + -2x)
600 = (30(20 + -2x) + -2x * (20 + -2x))
600 = ((20 * 30 + -2x * 30) + -2x * (20 + -2x))
600 = ((600 + -60x) + -2x * (20 + -2x))
600 = (600 + -60x + (20 * -2x + -2x * -2x))
600 = (600 + -60x + (-40x + 4x2))

Combine like terms: -60x + -40x = -100x
600 = (600 + -100x + 4x2)

Add '-600' to each side of the equation.
600 + -600 = 600 + -100x + -600 + 4x2

Combine like terms: 600 + -600 = 0
0 = 600 + -100x + -600 + 4x2

Reorder the terms:
0 = 600 + -600 + -100x + 4x2

Combine like terms: 600 + -600 = 0
0 = 0 + -100x + 4x2
0 = -100x + 4x2

Solving
0 = -100x + 4x2

Solving for variable 'x'.
Remove the zero:
100x + -4x2 = -100x + 4x2 + 100x + -4x2

Reorder the terms:
100x + -4x2 = -100x + 100x + 4x2 + -4x2

Combine like terms: -100x + 100x = 0
100x + -4x2 = 0 + 4x2 + -4x2
100x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
100x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(25 + -1x) = 0

Ignore the factor 4.

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 '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {0, 25}

See similar equations:

| f(x)=2.5x+6 | | 2y=y+24 | | 9x-4=x+12 | | Y+24=2y | | a=h(b+c)solve(b)equation | | 3-14= | | 4(2X-1)=48 | | -5x+2(2x+1)=2(5x-1)-7 | | 2x+4+2=2x+6+1 | | 4x-3=2x-13 | | -34+47= | | x^2-x-2000=0 | | 2b=b+17 | | 0x+0y=-2 | | x+10=3+3x | | -43+47= | | 12+x/2=2x | | 5(2x+4y)=6(3x+4)+2y | | 3t=t+42 | | -1+2+6=-9+8n+4 | | 19.5=-8t^2+32t | | 87.5=h^2+5H | | 1+2+6=-9+8n+4 | | 7x+6-2x+1=-9 | | y^2+4y=24x^2 | | 88=(.5)(H+5)(H) | | x+x+0.6=2x+2x+x+0.1 | | e^5x-e=0 | | 8x=9x+2 | | Y=.60x+30 | | 3sin^3(2x)-2cosx=0 | | 0=x^3-6x^2+9x+7 |

Equations solver categories