6x(2x+60)=180

Simple and best practice solution for 6x(2x+60)=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 6x(2x+60)=180 equation: 


Simplifying
6x(2x + 60) = 180

Reorder the terms:
6x(60 + 2x) = 180
(60 * 6x + 2x * 6x) = 180
(360x + 12x2) = 180

Solving
360x + 12x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 360x + 12x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 360x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-15 + 30x + x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-15 + 30x + x2)' equal to zero and attempt to solve:

Simplifying
-15 + 30x + x2 = 0

Solving
-15 + 30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + 30x + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + 30x + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 30x + x2 = 0 + 15
30x + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
30x + x2 = 15

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 = 15 + 225

Reorder the terms:
225 + 30x + x2 = 15 + 225

Combine like terms: 15 + 225 = 240
225 + 30x + x2 = 240

Factor a perfect square on the left side:
(x + 15)(x + 15) = 240

Calculate the square root of the right side: 15.491933385

Break this problem into two subproblems by setting 
(x + 15) equal to 15.491933385 and -15.491933385.


Subproblem 1
x + 15 = 15.491933385

Simplifying
x + 15 = 15.491933385

Reorder the terms:
15 + x = 15.491933385

Solving
15 + x = 15.491933385

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 = 15.491933385 + -15

Combine like terms: 15 + -15 = 0
0 + x = 15.491933385 + -15
x = 15.491933385 + -15

Combine like terms: 15.491933385 + -15 = 0.491933385
x = 0.491933385

Simplifying
x = 0.491933385


Subproblem 2
x + 15 = -15.491933385

Simplifying
x + 15 = -15.491933385

Reorder the terms:
15 + x = -15.491933385

Solving
15 + x = -15.491933385

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 = -15.491933385 + -15

Combine like terms: 15 + -15 = 0
0 + x = -15.491933385 + -15
x = -15.491933385 + -15

Combine like terms: -15.491933385 + -15 = -30.491933385
x = -30.491933385

Simplifying
x = -30.491933385


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.491933385, -30.491933385}
Solution
x = {0.491933385, -30.491933385}

See similar equations:

| 5/2*(-10/1) | | 3w^2+4w-13=2-2w | | 4s+5=3s+9 | | e^x/2 | | 441=(2x+9)(2x+9) | | 0=-16t^2+105t+14 | | 441=2x+9(2x+9) | | r^5=0.53 | | 15y^2=10c^3 | | -7/5x=-14/15 | | -5(7)= | | 3m+1/2=2m+1 | | 0=-3-3n^2+10n | | (2x/y^2)(4y/3x) | | -20(-3)= | | x-2+5=8-5 | | 2x+7=7x+9 | | 1x^3-3x-2=0 | | -64=4(-3m-4) | | u+15=4u | | (x-7)/3 | | x-5=8+5 | | ln(3x)-ln(3)=0 | | 42-2u=4u | | 2(4-6k)=92 | | 5w=72-3w | | x-5+2=8-2 | | 110=2y+14 | | -3(2x-4)=2(7x+3) | | -t^2-t+20=0 | | 7=3-4x+8 | | Logb(x)=2logb(x-1) |

Equations solver categories