2x(x+30)=5000

Simple and best practice solution for 2x(x+30)=5000 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(x+30)=5000 equation: 


Simplifying
2x(x + 30) = 5000

Reorder the terms:
2x(30 + x) = 5000
(30 * 2x + x * 2x) = 5000
(60x + 2x2) = 5000

Solving
60x + 2x2 = 5000

Solving for variable 'x'.

Reorder the terms:
-5000 + 60x + 2x2 = 5000 + -5000

Combine like terms: 5000 + -5000 = 0
-5000 + 60x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2500 + 30x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2500 + 30x + x2)' equal to zero and attempt to solve:

Simplifying
-2500 + 30x + x2 = 0

Solving
-2500 + 30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2500' to each side of the equation.
-2500 + 30x + 2500 + x2 = 0 + 2500

Reorder the terms:
-2500 + 2500 + 30x + x2 = 0 + 2500

Combine like terms: -2500 + 2500 = 0
0 + 30x + x2 = 0 + 2500
30x + x2 = 0 + 2500

Combine like terms: 0 + 2500 = 2500
30x + x2 = 2500

The x term is 30x.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30x + 225 + x2 = 2500 + 225

Reorder the terms:
225 + 30x + x2 = 2500 + 225

Combine like terms: 2500 + 225 = 2725
225 + 30x + x2 = 2725

Factor a perfect square on the left side:
(x + 15)(x + 15) = 2725

Calculate the square root of the right side: 52.201532545

Break this problem into two subproblems by setting 
(x + 15) equal to 52.201532545 and -52.201532545.


Subproblem 1
x + 15 = 52.201532545

Simplifying
x + 15 = 52.201532545

Reorder the terms:
15 + x = 52.201532545

Solving
15 + x = 52.201532545

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = 52.201532545 + -15

Combine like terms: 15 + -15 = 0
0 + x = 52.201532545 + -15
x = 52.201532545 + -15

Combine like terms: 52.201532545 + -15 = 37.201532545
x = 37.201532545

Simplifying
x = 37.201532545


Subproblem 2
x + 15 = -52.201532545

Simplifying
x + 15 = -52.201532545

Reorder the terms:
15 + x = -52.201532545

Solving
15 + x = -52.201532545

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = -52.201532545 + -15

Combine like terms: 15 + -15 = 0
0 + x = -52.201532545 + -15
x = -52.201532545 + -15

Combine like terms: -52.201532545 + -15 = -67.201532545
x = -67.201532545

Simplifying
x = -67.201532545


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {37.201532545, -67.201532545}
Solution
x = {37.201532545, -67.201532545}

See similar equations:

| 24t-16=28+-4 | | (x+30)x*20=5000 | | Xxy= | | 3x+9=6-(5x-17) | | 3(-10x-6y-8)= | | x^2+3y^2-12y+3=0 | | -140/7= | | 12/x=22/(x-5) | | -1/3=-x/5 | | (-5)*(-17)*(-3)*0*3= | | (x+20)(x+30)=5000 | | y=5000-2000 | | f(n+1)=2f(n)-1 | | 4(2x-4)+4=44 | | (2/3)y=76 | | 3(3x-9)/2 | | 13/4/-4 | | 3x+5-7x+9=22 | | s=2*6+64t-16tsquare | | x(x+30)=0 | | (x+30)x=5000 | | n+3(n+4)=120 | | 7(25m-7)= | | .5(30)= | | -4(5x+9)+(-45)+(-6x)= | | x(.20)(.25)= | | y(y)-36=0 | | (-3x)+40+2x= | | 25x^4y^4/45x^6y-6 | | x(x+30)=5000 | | 35=x(x)+2x | | 10x+5-2x+8= |

Equations solver categories