320=x(2x+6)

Simple and best practice solution for 320=x(2x+6) 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 320=x(2x+6) equation: 


Simplifying
320 = x(2x + 6)

Reorder the terms:
320 = x(6 + 2x)
320 = (6 * x + 2x * x)
320 = (6x + 2x2)

Solving
320 = 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
320 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
320 + -6x + -2x2 = 0 + 2x2 + -2x2
320 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
320 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(160 + -3x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(160 + -3x + -1x2)' equal to zero and attempt to solve:

Simplifying
160 + -3x + -1x2 = 0

Solving
160 + -3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-160 + 3x + x2 = 0

Move the constant term to the right:

Add '160' to each side of the equation.
-160 + 3x + 160 + x2 = 0 + 160

Reorder the terms:
-160 + 160 + 3x + x2 = 0 + 160

Combine like terms: -160 + 160 = 0
0 + 3x + x2 = 0 + 160
3x + x2 = 0 + 160

Combine like terms: 0 + 160 = 160
3x + x2 = 160

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 160 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 160 + 2.25

Combine like terms: 160 + 2.25 = 162.25
2.25 + 3x + x2 = 162.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 162.25

Calculate the square root of the right side: 12.737739203

Break this problem into two subproblems by setting 
(x + 1.5) equal to 12.737739203 and -12.737739203.


Subproblem 1
x + 1.5 = 12.737739203

Simplifying
x + 1.5 = 12.737739203

Reorder the terms:
1.5 + x = 12.737739203

Solving
1.5 + x = 12.737739203

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 12.737739203 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 12.737739203 + -1.5
x = 12.737739203 + -1.5

Combine like terms: 12.737739203 + -1.5 = 11.237739203
x = 11.237739203

Simplifying
x = 11.237739203


Subproblem 2
x + 1.5 = -12.737739203

Simplifying
x + 1.5 = -12.737739203

Reorder the terms:
1.5 + x = -12.737739203

Solving
1.5 + x = -12.737739203

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -12.737739203 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -12.737739203 + -1.5
x = -12.737739203 + -1.5

Combine like terms: -12.737739203 + -1.5 = -14.237739203
x = -14.237739203

Simplifying
x = -14.237739203


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.237739203, -14.237739203}
Solution
x = {11.237739203, -14.237739203}

See similar equations:

| -1(1/4-4)=3u-17/4 | | 3G-2g=11 | | 3x+18y=120 | | 425=25x-[10x+250] | | 5p-7=-3 | | log(9+6x)=1+log(x-9) | | (2x+8)(6x+12)=180 | | Q-265=-346 | | (4y^2+2y-8)-(7y^2+4-y)= | | (2y-5)/7=9 | | 4x^2+5x+16=0 | | 4v^2-9v+9=2 | | 12+8-20= | | 8p-(1-3p)=-89 | | R-7=-3 | | 5x-4=52-9y | | 6m-5= | | (5/2*4) | | 70-(5x+8)=40 | | 1/3x2=16 | | M^2=-49+14m | | N+4-6n+3= | | (2x+8)=116 | | J+184.06=317.91 | | (x^3-3x+1)-(x^3+7-12x)= | | r^2-16r+39=0 | | 2x^2-4=8x | | -34+37+17=x | | 14-2x+4x=14 | | 5x^3-17x^2-12x=0 | | -16-7x=-30 | | -7mr(12m-7r+5)=0 |

Equations solver categories