3x(x+4)=240

Simple and best practice solution for 3x(x+4)=240 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(x+4)=240 equation: 


Simplifying
3x(x + 4) = 240

Reorder the terms:
3x(4 + x) = 240
(4 * 3x + x * 3x) = 240
(12x + 3x2) = 240

Solving
12x + 3x2 = 240

Solving for variable 'x'.

Reorder the terms:
-240 + 12x + 3x2 = 240 + -240

Combine like terms: 240 + -240 = 0
-240 + 12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-80 + 4x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-80 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-80 + 4x + x2 = 0

Solving
-80 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '80' to each side of the equation.
-80 + 4x + 80 + x2 = 0 + 80

Reorder the terms:
-80 + 80 + 4x + x2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 4x + x2 = 0 + 80
4x + x2 = 0 + 80

Combine like terms: 0 + 80 = 80
4x + x2 = 80

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 80 + 4

Reorder the terms:
4 + 4x + x2 = 80 + 4

Combine like terms: 80 + 4 = 84
4 + 4x + x2 = 84

Factor a perfect square on the left side:
(x + 2)(x + 2) = 84

Calculate the square root of the right side: 9.16515139

Break this problem into two subproblems by setting 
(x + 2) equal to 9.16515139 and -9.16515139.


Subproblem 1
x + 2 = 9.16515139

Simplifying
x + 2 = 9.16515139

Reorder the terms:
2 + x = 9.16515139

Solving
2 + x = 9.16515139

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 9.16515139 + -2

Combine like terms: 2 + -2 = 0
0 + x = 9.16515139 + -2
x = 9.16515139 + -2

Combine like terms: 9.16515139 + -2 = 7.16515139
x = 7.16515139

Simplifying
x = 7.16515139


Subproblem 2
x + 2 = -9.16515139

Simplifying
x + 2 = -9.16515139

Reorder the terms:
2 + x = -9.16515139

Solving
2 + x = -9.16515139

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -9.16515139 + -2

Combine like terms: 2 + -2 = 0
0 + x = -9.16515139 + -2
x = -9.16515139 + -2

Combine like terms: -9.16515139 + -2 = -11.16515139
x = -11.16515139

Simplifying
x = -11.16515139


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.16515139, -11.16515139}
Solution
x = {7.16515139, -11.16515139}

See similar equations:

| 77x^2+75x-50=0 | | M+N=M*N-5 | | -4x^4+20x^3+8x^2= | | 24z^2+49z-55=10 | | 4/3=s/s-2 | | -2x^4+16x^3+14x^2= | | 24z^2+49z-65=0 | | 3/2r=-6/16 | | -41.15=9.1x+8.9 | | 3/7=5/3 | | 5x=48-2y | | 12/16=3z/4 | | (1+y)(3y-4)=0 | | a+56=170 | | 7x-(4-2x)=3(x+3)-1 | | 5x=48-2x | | 5(3(x+4)-2(1-x))-x-15=14x+45 | | x-38=126 | | 4(4c-1)-8=14c+4 | | x-38=129 | | -2.8x-3.62=-17.9 | | Sin(5x)=sin(3x) | | 75y=489 | | -0.2(4x-5)+2=0.4(3-4x) | | a^2-9a-63=0 | | 394+x=702 | | ((5x-18)+(4x+7))*2=360 | | 20x=96 | | x^2-10x+14=-2 | | (7-w)(5w+6)=0 | | 8.7x-12=96 | | x^2-2x-23=-6 |

Equations solver categories