(2x+30)(2x+20)=2000

Simple and best practice solution for (2x+30)(2x+20)=2000 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 (2x+30)(2x+20)=2000 equation: 


Simplifying
(2x + 30)(2x + 20) = 2000

Reorder the terms:
(30 + 2x)(2x + 20) = 2000

Reorder the terms:
(30 + 2x)(20 + 2x) = 2000

Multiply (30 + 2x) * (20 + 2x)
(30(20 + 2x) + 2x * (20 + 2x)) = 2000
((20 * 30 + 2x * 30) + 2x * (20 + 2x)) = 2000
((600 + 60x) + 2x * (20 + 2x)) = 2000
(600 + 60x + (20 * 2x + 2x * 2x)) = 2000
(600 + 60x + (40x + 4x2)) = 2000

Combine like terms: 60x + 40x = 100x
(600 + 100x + 4x2) = 2000

Solving
600 + 100x + 4x2 = 2000

Solving for variable 'x'.

Reorder the terms:
600 + -2000 + 100x + 4x2 = 2000 + -2000

Combine like terms: 600 + -2000 = -1400
-1400 + 100x + 4x2 = 2000 + -2000

Combine like terms: 2000 + -2000 = 0
-1400 + 100x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-350 + 25x + x2) = 0

Factor a trinomial.
4((-35 + -1x)(10 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve:

Simplifying
-35 + -1x = 0

Solving
-35 + -1x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 0 + 35
-1x = 0 + 35

Combine like terms: 0 + 35 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-35, 10}

See similar equations:

| X=1/2(45) | | lx+2l=5x-3 | | 16x^2-68t-68=0 | | X=1/2(132) | | 2(2x+7)=3x+9 | | -117+14x=87+8x | | 3a-4=2(a+1)+8a+2 | | 125+55+55+90+w=360 | | (x^2)+6x+4=g(x) | | 2(m-4)=7m-4-4m | | 40.5=4.5d | | 6.4=x-1.6 | | 2x-1+2=0.5x | | X-16/3=35 | | m^2+6=9 | | -9y-24y^2=0 | | x^3-2x^2+7x-10=0 | | 5x+4(x-10)+x-10=180 | | 6k(2k+5)=0 | | X-2+17=41 | | 5x*5x=2 | | 30.4=s+21.4 | | 7x^2=14x-21/4;x=3/2 | | x/20=4/5= | | 1=y/8 | | -y=-5x+15 | | 7x^2=14x-21/4;x=4/2 | | 5xy^4+5x^4y-9xy^4+11x^4y= | | 5ln(2x)+6=12 | | 8y-6x=48 | | (3x-5)(x)=28 | | 2/5=18/x |

Equations solver categories