3x(x+5)=69

Simple and best practice solution for 3x(x+5)=69 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+5)=69 equation: 


Simplifying
3x(x + 5) = 69

Reorder the terms:
3x(5 + x) = 69
(5 * 3x + x * 3x) = 69
(15x + 3x2) = 69

Solving
15x + 3x2 = 69

Solving for variable 'x'.

Reorder the terms:
-69 + 15x + 3x2 = 69 + -69

Combine like terms: 69 + -69 = 0
-69 + 15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-23 + 5x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-23 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
-23 + 5x + x2 = 0

Solving
-23 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '23' to each side of the equation.
-23 + 5x + 23 + x2 = 0 + 23

Reorder the terms:
-23 + 23 + 5x + x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 5x + x2 = 0 + 23
5x + x2 = 0 + 23

Combine like terms: 0 + 23 = 23
5x + x2 = 23

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 23 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 23 + 6.25

Combine like terms: 23 + 6.25 = 29.25
6.25 + 5x + x2 = 29.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 29.25

Calculate the square root of the right side: 5.408326913

Break this problem into two subproblems by setting 
(x + 2.5) equal to 5.408326913 and -5.408326913.


Subproblem 1
x + 2.5 = 5.408326913

Simplifying
x + 2.5 = 5.408326913

Reorder the terms:
2.5 + x = 5.408326913

Solving
2.5 + x = 5.408326913

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 5.408326913 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 5.408326913 + -2.5
x = 5.408326913 + -2.5

Combine like terms: 5.408326913 + -2.5 = 2.908326913
x = 2.908326913

Simplifying
x = 2.908326913


Subproblem 2
x + 2.5 = -5.408326913

Simplifying
x + 2.5 = -5.408326913

Reorder the terms:
2.5 + x = -5.408326913

Solving
2.5 + x = -5.408326913

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -5.408326913 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -5.408326913 + -2.5
x = -5.408326913 + -2.5

Combine like terms: -5.408326913 + -2.5 = -7.908326913
x = -7.908326913

Simplifying
x = -7.908326913


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.908326913, -7.908326913}
Solution
x = {2.908326913, -7.908326913}

See similar equations:

| (3/4)^-3 | | 3/4^-3 | | 3y-2=29 | | 2x^4-54x^2=-100 | | 3*4X-2+15=12X+9 | | 10w-9=5(2w-3)+6 | | 4v^2-23v+33=0 | | 4x(5-2x)-3(2-x)= | | 25m^2-30mn+9n^2= | | 3(4x-(3-5x))-26x=9 | | 4x-1=51 | | -14-12=x | | [x+1]-5=9 | | 2v^2+19v+35=0 | | 0.75+2.25x=12 | | 24-8x=1x-11x | | 8x-2=10x-8 | | 4720=P(1+0.02(9)) | | (9v-4)(9v+4)=0 | | 5v^2-11v+2=0 | | 2+5x-7y=18 | | 5v^2-11w+2=0 | | 5v^2-11w+10=0 | | 4x(8x+4x)=50 | | (4/5)*(4/5) | | 50-2*4*3+8= | | y=5x-9 | | 2/3x=5/9 | | 1.4(2y-3)-4=-13.6+2.8y+5.4 | | 8^6/8^-3x8 | | 8^6/8^-3*8 | | 4(y+7)+6y=-2 |

Equations solver categories