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

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


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

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

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

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

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

Solving
2000 = 600 + 100x + 4x2

Solving for variable 'x'.

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

Reorder the terms:
1400 + -100x + -4x2 = 600 + -600 + 100x + -100x + 4x2 + -4x2

Combine like terms: 600 + -600 = 0
1400 + -100x + -4x2 = 0 + 100x + -100x + 4x2 + -4x2
1400 + -100x + -4x2 = 100x + -100x + 4x2 + -4x2

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(350 + -25x + -1x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(35 + x)' equal to zero and attempt to solve:

Simplifying
35 + x = 0

Solving
35 + x = 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 + x = 0 + -35

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

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

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

See similar equations:

| 1/5×2/3 | | 2x-1y=11 | | 20=4(v-4)+5v | | 6-7(x-1)=8+3(x-5) | | 0=2t*t^2 | | 4(3x-2)=3(3x-2)+1 | | (7.12•10^15)/(3.5•10^9) | | m^2-(1/3)m-(5/3)=0 | | (3x+7)(3x+7)-(2x-3)(2x-3)=0 | | 18=-4y+6(y+5) | | t/16=4/t | | 2.64x-1=6.9696-x | | 2/3(4y-3)-1/3=-1 | | 5n/7.57=7 | | Hg(x)=3.08(14)sqrt+18.97 | | 2(3x+2)-3(3x-5)=4 | | 5(t-3)=48 | | -5=-3w+5(w-3) | | x+(6+5(x-1)+3x)=-17 | | x*1/3=4 | | 16*12= | | 2+3(x+1)= | | 10/11x-10/11=7 | | 12x^2+xy-y^2=0 | | 2a-8(a+3)=9-3(4a+10) | | 1/6x1/6x1/6 | | 56/90 | | 5y+7=-8(y+4) | | 8a-(a-5)-(a+6)=a-11 | | 5(r+9)-8(r+5)=-13 | | (3z+7)(6+z)=0 | | 2(v-3)=-5v+22 |

Equations solver categories