2x(x+30)=180

Simple and best practice solution for 2x(x+30)=180 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)=180 equation: 


Simplifying
2x(x + 30) = 180

Reorder the terms:
2x(30 + x) = 180
(30 * 2x + x * 2x) = 180
(60x + 2x2) = 180

Solving
60x + 2x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 60x + 2x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 60x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-90 + 30x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-90 + 30x + x2)' equal to zero and attempt to solve:

Simplifying
-90 + 30x + x2 = 0

Solving
-90 + 30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '90' to each side of the equation.
-90 + 30x + 90 + x2 = 0 + 90

Reorder the terms:
-90 + 90 + 30x + x2 = 0 + 90

Combine like terms: -90 + 90 = 0
0 + 30x + x2 = 0 + 90
30x + x2 = 0 + 90

Combine like terms: 0 + 90 = 90
30x + x2 = 90

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 = 90 + 225

Reorder the terms:
225 + 30x + x2 = 90 + 225

Combine like terms: 90 + 225 = 315
225 + 30x + x2 = 315

Factor a perfect square on the left side:
(x + 15)(x + 15) = 315

Calculate the square root of the right side: 17.748239349

Break this problem into two subproblems by setting 
(x + 15) equal to 17.748239349 and -17.748239349.


Subproblem 1
x + 15 = 17.748239349

Simplifying
x + 15 = 17.748239349

Reorder the terms:
15 + x = 17.748239349

Solving
15 + x = 17.748239349

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 = 17.748239349 + -15

Combine like terms: 15 + -15 = 0
0 + x = 17.748239349 + -15
x = 17.748239349 + -15

Combine like terms: 17.748239349 + -15 = 2.748239349
x = 2.748239349

Simplifying
x = 2.748239349


Subproblem 2
x + 15 = -17.748239349

Simplifying
x + 15 = -17.748239349

Reorder the terms:
15 + x = -17.748239349

Solving
15 + x = -17.748239349

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 = -17.748239349 + -15

Combine like terms: 15 + -15 = 0
0 + x = -17.748239349 + -15
x = -17.748239349 + -15

Combine like terms: -17.748239349 + -15 = -32.748239349
x = -32.748239349

Simplifying
x = -32.748239349


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.748239349, -32.748239349}
Solution
x = {2.748239349, -32.748239349}

See similar equations:

| 2x(x-30)=180 | | 15y+32=4y-13y | | -3y+9(-1y+2)=3-3(-8-y) | | x+14=4x+32 | | 7(t-6)+3t=5(2t+5)-10 | | -5x/7-8-9 | | 1+3n=-5n | | 4b-5=11 | | (2/5)^2*(5/11)^2 | | 28p^2+60p-25= | | sqrt(4x-3)=7 | | 30x+50=25x+75 | | 4x^2-60x+180=0 | | 2x^10-x^5-3=0 | | 15y^2+45y-9-4y+5y^2=0 | | 9(11-7)-6/5^2-10 | | 3x^2+8x-x^2+3x+12=0 | | x-2/3= | | 0.2x+0.6y=-0.4 | | 27.50/x=23.25/17 | | 45*x=100 | | 3a^2+4a-2a^2+2a+9=0 | | x=(12/5/2*10/6)(12/5/2*10/6) | | 6y^2+12y+13-2y^2-4=0 | | (4z^10)(-2z^2)(z^2)= | | 2x-(x+30)=180 | | 22x+1160=-15x+1900 | | .3(x-3)=5(1.5+x) | | 36*3.14=37.68 | | 6*2*3.14= | | 12x=22x | | .7(2p+3)-8=14p-13 |

Equations solver categories