4(x)(x+4)=336

Simple and best practice solution for 4(x)(x+4)=336 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 4(x)(x+4)=336 equation: 


Simplifying
4(x)(x + 4) = 336

Reorder the terms:
4x(4 + x) = 336
(4 * 4x + x * 4x) = 336
(16x + 4x2) = 336

Solving
16x + 4x2 = 336

Solving for variable 'x'.

Reorder the terms:
-336 + 16x + 4x2 = 336 + -336

Combine like terms: 336 + -336 = 0
-336 + 16x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-84 + 4x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-84 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-84 + 4x + x2 = 0

Solving
-84 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '84' to each side of the equation.
-84 + 4x + 84 + x2 = 0 + 84

Reorder the terms:
-84 + 84 + 4x + x2 = 0 + 84

Combine like terms: -84 + 84 = 0
0 + 4x + x2 = 0 + 84
4x + x2 = 0 + 84

Combine like terms: 0 + 84 = 84
4x + x2 = 84

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 = 84 + 4

Reorder the terms:
4 + 4x + x2 = 84 + 4

Combine like terms: 84 + 4 = 88
4 + 4x + x2 = 88

Factor a perfect square on the left side:
(x + 2)(x + 2) = 88

Calculate the square root of the right side: 9.38083152

Break this problem into two subproblems by setting 
(x + 2) equal to 9.38083152 and -9.38083152.


Subproblem 1
x + 2 = 9.38083152

Simplifying
x + 2 = 9.38083152

Reorder the terms:
2 + x = 9.38083152

Solving
2 + x = 9.38083152

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 = 9.38083152 + -2

Combine like terms: 2 + -2 = 0
0 + x = 9.38083152 + -2
x = 9.38083152 + -2

Combine like terms: 9.38083152 + -2 = 7.38083152
x = 7.38083152

Simplifying
x = 7.38083152


Subproblem 2
x + 2 = -9.38083152

Simplifying
x + 2 = -9.38083152

Reorder the terms:
2 + x = -9.38083152

Solving
2 + x = -9.38083152

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 = -9.38083152 + -2

Combine like terms: 2 + -2 = 0
0 + x = -9.38083152 + -2
x = -9.38083152 + -2

Combine like terms: -9.38083152 + -2 = -11.38083152
x = -11.38083152

Simplifying
x = -11.38083152


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.38083152, -11.38083152}
Solution
x = {7.38083152, -11.38083152}

See similar equations:

| (4-3)*10=30 | | 3x3=0 | | 8x+6.39=5x+12 | | 4(x)(x+8)=336 | | 12y+5=-35 | | 4sinx+7cosx=4 | | 9^´1/2 | | -28ay+15bx=m | | -65t^2+56t=0 | | 15x-48=-10x+2 | | 24x^2+18x= | | 4xsquare+9x-11=-2 | | 8(x)(x+4)=336 | | 5/9*3/5 | | 3x^2+lnx=0 | | 4=9-d | | 7(x-5.8)=1.4 | | 8e+12=92 | | 9t-8=-2(t+3) | | 4xSquared+9x-11=-2 | | 15=x+37 | | (2x-3)(2x-3)=26 | | 8d+21=109 | | 10k-4=46 | | 3y-6=8(y+3) | | 4+4(p+5)=32 | | 6b-6=78 | | r^3+r=0 | | 2x^2-240x+180y=0 | | 3b-5=-71 | | -3.1+(-9.48)= | | (2(73.5-1.5y))+(3y+8)=180 |

Equations solver categories