2x(x+3)-5=x+5

Simple and best practice solution for 2x(x+3)-5=x+5 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+3)-5=x+5 equation: 


Simplifying
2x(x + 3) + -5 = x + 5

Reorder the terms:
2x(3 + x) + -5 = x + 5
(3 * 2x + x * 2x) + -5 = x + 5
(6x + 2x2) + -5 = x + 5

Reorder the terms:
-5 + 6x + 2x2 = x + 5

Reorder the terms:
-5 + 6x + 2x2 = 5 + x

Solving
-5 + 6x + 2x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
-5 + -5 + 6x + -1x + 2x2 = 5 + x + -5 + -1x

Combine like terms: -5 + -5 = -10
-10 + 6x + -1x + 2x2 = 5 + x + -5 + -1x

Combine like terms: 6x + -1x = 5x
-10 + 5x + 2x2 = 5 + x + -5 + -1x

Reorder the terms:
-10 + 5x + 2x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-10 + 5x + 2x2 = 0 + x + -1x
-10 + 5x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-10 + 5x + 2x2 = 0

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

Divide each side by '2'.
-5 + 2.5x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 2.5x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 2.5x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2.5x + x2 = 0 + 5
2.5x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
2.5x + x2 = 5

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = 5 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = 5 + 1.5625

Combine like terms: 5 + 1.5625 = 6.5625
1.5625 + 2.5x + x2 = 6.5625

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = 6.5625

Calculate the square root of the right side: 2.561737691

Break this problem into two subproblems by setting 
(x + 1.25) equal to 2.561737691 and -2.561737691.


Subproblem 1
x + 1.25 = 2.561737691

Simplifying
x + 1.25 = 2.561737691

Reorder the terms:
1.25 + x = 2.561737691

Solving
1.25 + x = 2.561737691

Solving for variable 'x'.

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x = 2.561737691 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x = 2.561737691 + -1.25
x = 2.561737691 + -1.25

Combine like terms: 2.561737691 + -1.25 = 1.311737691
x = 1.311737691

Simplifying
x = 1.311737691


Subproblem 2
x + 1.25 = -2.561737691

Simplifying
x + 1.25 = -2.561737691

Reorder the terms:
1.25 + x = -2.561737691

Solving
1.25 + x = -2.561737691

Solving for variable 'x'.

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x = -2.561737691 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x = -2.561737691 + -1.25
x = -2.561737691 + -1.25

Combine like terms: -2.561737691 + -1.25 = -3.811737691
x = -3.811737691

Simplifying
x = -3.811737691


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.311737691, -3.811737691}

See similar equations:

| -3d-10=-13 | | -3d+8/9=-71/72 | | -3d+8/9+7d=-64/9 | | -3d+7=9/2 | | -3d+7=65/11 | | -3d+7=5d+43/5 | | -3d+7=47/8 | | -3d+6/7=-120/7 | | -3d+6=9/2 | | -3d+5/8=-67/8 | | -3d+5-7d=9 | | -3d+5+5d=4 | | -30=2m | | -3d+3=-4d+12/5 | | 5d+12=3 | | -3d+2/3+2/3d=3 | | -3d+2=-25 | | -3d+1/9=-215/9+3d | | -3d+1/4+2/3d=-221/12 | | -3d+1=-1/2 | | -3d+1=-26 | | 13x+1-10x=5xy | | 9-7j=22 | | -3b=30/11 | | -3b-7-3b=53 | | -3b-3=-2b-7 | | -3b-3-b=-5 | | -3b-2/9=160/9 | | -3b-2+4b=-14 | | -3b+9=33+b | | 3x+1-10x=5xy | | -3b+8=4/7b+33 |

Equations solver categories