(3x)(4x-24)=180

Simple and best practice solution for (3x)(4x-24)=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 (3x)(4x-24)=180 equation: 


Simplifying
(3x)(4x + -24) = 180

Remove parenthesis around (3x)
3x(4x + -24) = 180

Reorder the terms:
3x(-24 + 4x) = 180
(-24 * 3x + 4x * 3x) = 180
(-72x + 12x2) = 180

Solving
-72x + 12x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -72x + 12x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -72x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-15 + -6x + x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-15 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-15 + -6x + x2 = 0

Solving
-15 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + -6x + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + -6x + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -6x + x2 = 0 + 15
-6x + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
-6x + x2 = 15

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 15 + 9

Reorder the terms:
9 + -6x + x2 = 15 + 9

Combine like terms: 15 + 9 = 24
9 + -6x + x2 = 24

Factor a perfect square on the left side:
(x + -3)(x + -3) = 24

Calculate the square root of the right side: 4.898979486

Break this problem into two subproblems by setting 
(x + -3) equal to 4.898979486 and -4.898979486.


Subproblem 1
x + -3 = 4.898979486

Simplifying
x + -3 = 4.898979486

Reorder the terms:
-3 + x = 4.898979486

Solving
-3 + x = 4.898979486

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = 4.898979486 + 3

Combine like terms: -3 + 3 = 0
0 + x = 4.898979486 + 3
x = 4.898979486 + 3

Combine like terms: 4.898979486 + 3 = 7.898979486
x = 7.898979486

Simplifying
x = 7.898979486


Subproblem 2
x + -3 = -4.898979486

Simplifying
x + -3 = -4.898979486

Reorder the terms:
-3 + x = -4.898979486

Solving
-3 + x = -4.898979486

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = -4.898979486 + 3

Combine like terms: -3 + 3 = 0
0 + x = -4.898979486 + 3
x = -4.898979486 + 3

Combine like terms: -4.898979486 + 3 = -1.898979486
x = -1.898979486

Simplifying
x = -1.898979486


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.898979486, -1.898979486}
Solution
x = {7.898979486, -1.898979486}

See similar equations:

| Y^2+8y=153 | | 25h-7(71)=800 | | ln*e^2= | | 4x^4+20x^2+15=0 | | 2v^2-19v+24=0 | | x+14+90=180 | | (3x-x+3)5=7.4 | | 4x+-19x+-7=8 | | 6m+m-4(-2m+1-m)whenm=8 | | 55=h-2 | | 2x+7-x+17=-4 | | n^2-7n-6=0 | | 8a+-5a+7=31 | | 30m-44=25m-99 | | 18v^3+24v^2-120v=0 | | 18x^3+24v^2-120v=0 | | 2x+7-x+17=14 | | -9x+-3=-9+5x | | 600=30l | | x^2-2x+13=4x | | 2x+6+3x-4=37 | | e^2x=2.4 | | 3.50x+1.50=21 | | 20x-9=12x+89 | | 3*x+4*y=73*x+4*y=7 | | x*-5x+4=0 | | X^2+2xr+r^2=0 | | -9x-3=-9+5 | | 5c+12-3c=12 | | 4-2x=y | | 2(x-9)=12-(x+2) | | 3.2m-4-3.2m-6= |

Equations solver categories