2X(X+4)=14

Simple and best practice solution for 2X(X+4)=14 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+4)=14 equation: 


Simplifying
2X(X + 4) = 14

Reorder the terms:
2X(4 + X) = 14
(4 * 2X + X * 2X) = 14
(8X + 2X2) = 14

Solving
8X + 2X2 = 14

Solving for variable 'X'.

Reorder the terms:
-14 + 8X + 2X2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 8X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 4X + X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 4X + X2)' equal to zero and attempt to solve:

Simplifying
-7 + 4X + X2 = 0

Solving
-7 + 4X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 4X + 7 + X2 = 0 + 7

Reorder the terms:
-7 + 7 + 4X + X2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4X + X2 = 0 + 7
4X + X2 = 0 + 7

Combine like terms: 0 + 7 = 7
4X + X2 = 7

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 = 7 + 4

Reorder the terms:
4 + 4X + X2 = 7 + 4

Combine like terms: 7 + 4 = 11
4 + 4X + X2 = 11

Factor a perfect square on the left side:
(X + 2)(X + 2) = 11

Calculate the square root of the right side: 3.31662479

Break this problem into two subproblems by setting 
(X + 2) equal to 3.31662479 and -3.31662479.


Subproblem 1
X + 2 = 3.31662479

Simplifying
X + 2 = 3.31662479

Reorder the terms:
2 + X = 3.31662479

Solving
2 + X = 3.31662479

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 = 3.31662479 + -2

Combine like terms: 2 + -2 = 0
0 + X = 3.31662479 + -2
X = 3.31662479 + -2

Combine like terms: 3.31662479 + -2 = 1.31662479
X = 1.31662479

Simplifying
X = 1.31662479


Subproblem 2
X + 2 = -3.31662479

Simplifying
X + 2 = -3.31662479

Reorder the terms:
2 + X = -3.31662479

Solving
2 + X = -3.31662479

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 = -3.31662479 + -2

Combine like terms: 2 + -2 = 0
0 + X = -3.31662479 + -2
X = -3.31662479 + -2

Combine like terms: -3.31662479 + -2 = -5.31662479
X = -5.31662479

Simplifying
X = -5.31662479


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {1.31662479, -5.31662479}
Solution
X = {1.31662479, -5.31662479}

See similar equations:

| 13x+51=90 | | 5=6v | | f(x)=lx-1l+4 | | 5x+5=8x-13 | | -14-3n=5n-6n | | 5.61-8.94=3.76m+4.86 | | 5(w+2)=4(w+1) | | 13x+167=180 | | 6x-5x+4=-6 | | w=3(x+y+z)y | | v-16=-6 | | 3c-36=-3c-12 | | 9y-5y+10=-19 | | 0.33-4=-8 | | 2=5w+12 | | 5s-21=39 | | m=6(p+q)q | | 3(x+2)=-5-2(x-4) | | 25-39=11 | | 6X+19X-7=5(5X+5) | | -0.75=-0.6+s | | -2.4x=-2.88 | | 5x+28(x-2)=406 | | x-5x=7x-9x-x | | X+0.375=-1.75 | | -328=-56b+7 | | -5+4r=-5r+4r | | 19-13p=-5-17p | | 0.5+0.5j=0 | | ln(5X+1)=4.5 | | 3x+12=7x-22 | | x+3(x-3)=91 |

Equations solver categories