1200=(30-2x)*(20-2x)

Simple and best practice solution for 1200=(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 1200=(30-2x)*(20-2x) equation: 


Simplifying
1200 = (30 + -2x)(20 + -2x)

Multiply (30 + -2x) * (20 + -2x)
1200 = (30(20 + -2x) + -2x * (20 + -2x))
1200 = ((20 * 30 + -2x * 30) + -2x * (20 + -2x))
1200 = ((600 + -60x) + -2x * (20 + -2x))
1200 = (600 + -60x + (20 * -2x + -2x * -2x))
1200 = (600 + -60x + (-40x + 4x2))

Combine like terms: -60x + -40x = -100x
1200 = (600 + -100x + 4x2)

Solving
1200 = 600 + -100x + 4x2

Solving for variable 'x'.

Combine like terms: 1200 + -600 = 600
600 + 100x + -4x2 = 600 + -100x + 4x2 + -600 + 100x + -4x2

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(150 + 25x + -1x2) = 0

Factor a trinomial.
4((30 + -1x)(5 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {30, -5}

See similar equations:

| -(12n-5m)+12n= | | 7*(3a-b)-20a+7B= | | -9x-4.5+6x+10=2.5 | | 14y+14-3y=46+7y | | -2+7x=4x-5 | | 8a+4-5a-15=-17 | | 7z+5=9z+-2z | | 16x-16=-4x+56 | | ln[(x+2)*(x-2)]=0 | | 3y^2-7y-10=0 | | ln[(x+2)*(x-2)]=ln(2x+11) | | 1-27Y^3= | | -2b-8=8b-68 | | 5x+8x=10x | | 9x-63=-3+159 | | 3(4x-11)+5(7-2x)=16-3(3x-10) | | -2-8=8b-68 | | 27-X^3= | | 12-12c=2c-30 | | 2z+25=-80 | | 5x-40=-80 | | 2x+9=8x+-x | | y=4x^2+7x^4 | | 5.25-X=0.1(10-0.5x) | | 10x+15=4a+21 | | -(x-3)(x^2+3x+9)+(x-1)(x^2+x+1)=26 | | 28=62-3x | | 2x-(x+8)=18 | | 3.5(x-4)=4x+8 | | (X+2)(X-1)=7X+5 | | 3x+2x=17+-27 | | 4*(z-5)=3z-16 |

Equations solver categories