5x(x+3)=720

Simple and best practice solution for 5x(x+3)=720 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 5x(x+3)=720 equation: 


Simplifying
5x(x + 3) = 720

Reorder the terms:
5x(3 + x) = 720
(3 * 5x + x * 5x) = 720
(15x + 5x2) = 720

Solving
15x + 5x2 = 720

Solving for variable 'x'.

Reorder the terms:
-720 + 15x + 5x2 = 720 + -720

Combine like terms: 720 + -720 = 0
-720 + 15x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-144 + 3x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-144 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
-144 + 3x + x2 = 0

Solving
-144 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '144' to each side of the equation.
-144 + 3x + 144 + x2 = 0 + 144

Reorder the terms:
-144 + 144 + 3x + x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 3x + x2 = 0 + 144
3x + x2 = 0 + 144

Combine like terms: 0 + 144 = 144
3x + x2 = 144

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 = 144 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 144 + 2.25

Combine like terms: 144 + 2.25 = 146.25
2.25 + 3x + x2 = 146.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 146.25

Calculate the square root of the right side: 12.093386622

Break this problem into two subproblems by setting 
(x + 1.5) equal to 12.093386622 and -12.093386622.


Subproblem 1
x + 1.5 = 12.093386622

Simplifying
x + 1.5 = 12.093386622

Reorder the terms:
1.5 + x = 12.093386622

Solving
1.5 + x = 12.093386622

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 = 12.093386622 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 12.093386622 + -1.5
x = 12.093386622 + -1.5

Combine like terms: 12.093386622 + -1.5 = 10.593386622
x = 10.593386622

Simplifying
x = 10.593386622


Subproblem 2
x + 1.5 = -12.093386622

Simplifying
x + 1.5 = -12.093386622

Reorder the terms:
1.5 + x = -12.093386622

Solving
1.5 + x = -12.093386622

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 = -12.093386622 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -12.093386622 + -1.5
x = -12.093386622 + -1.5

Combine like terms: -12.093386622 + -1.5 = -13.593386622
x = -13.593386622

Simplifying
x = -13.593386622


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.593386622, -13.593386622}
Solution
x = {10.593386622, -13.593386622}

See similar equations:

| (3x^2)-5x+1=0 | | 11x-(2-4x)=13+2(x-1) | | 6-2x-x-3+5x= | | .75x-5=10 | | 2*T=12 | | 13(v+3)-4v=3(3v+1)-8 | | 8x+6+2x+3= | | og[2](3x-1)=5 | | 81x^2-108x+29=0 | | 12(x+4)=4(3x+3)+36 | | 7z^2-54z-81=0 | | 54-a=478 | | 7+(9-5p)-8= | | 17(t-5)+4t=7(3t+2)-10 | | 5x-10+6=18-6x | | tan15=x/500 | | d-125=798 | | z+18=23 | | 90=6x-1+3x-8 | | 8*2/3= | | 1*2x+6=10 | | 15+77.95d=482.70 | | -5x+9x=-8 | | Y-1=2/3(x-2) | | 2(x-3)-5=2(x-4)+25 | | x^2-48=47 | | 57-12.5q=85 | | -3(u+3)=8u+24 | | 50-5y=8y+12 | | 3-4=6-p | | 2x-48=47 | | 8x+6y=6385 |

Equations solver categories