x(x-3)=8

Simple and best practice solution for x(x-3)=8 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 x(x-3)=8 equation: 


Simplifying
x(x + -3) = 8

Reorder the terms:
x(-3 + x) = 8
(-3 * x + x * x) = 8
(-3x + x2) = 8

Solving
-3x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + -3x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -3x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -3x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x + x2 = 0 + 8
-3x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-3x + x2 = 8

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 = 8 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 8 + 2.25

Combine like terms: 8 + 2.25 = 10.25
2.25 + -3x + x2 = 10.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
x + -1.5 = 3.201562119

Simplifying
x + -1.5 = 3.201562119

Reorder the terms:
-1.5 + x = 3.201562119

Solving
-1.5 + x = 3.201562119

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 = 3.201562119 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 3.201562119 + 1.5
x = 3.201562119 + 1.5

Combine like terms: 3.201562119 + 1.5 = 4.701562119
x = 4.701562119

Simplifying
x = 4.701562119


Subproblem 2
x + -1.5 = -3.201562119

Simplifying
x + -1.5 = -3.201562119

Reorder the terms:
-1.5 + x = -3.201562119

Solving
-1.5 + x = -3.201562119

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 = -3.201562119 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -3.201562119 + 1.5
x = -3.201562119 + 1.5

Combine like terms: -3.201562119 + 1.5 = -1.701562119
x = -1.701562119

Simplifying
x = -1.701562119


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.701562119, -1.701562119}

See similar equations:

| -7[x+1]+2=3 | | 12+2x-x=4x+6 | | 5a+24=10a+14 | | 3x-8y=29 | | 12+2x-x=4z+6 | | %3.9x66,000 | | 4+10*2=x | | 3sin^2x-5cosx-3=2 | | 1/4×3/7×4/5 | | 12/l=14/3.5 | | -9/2-3 | | 9q-15=7q-9 | | 2x+6000-6000=62000-6000 | | 1-8p=13-10 | | 6-x=5x-9x+2+4 | | -5=0.5[x+4]-1.5x | | .11=((0.375-x)/2)((0.375-x)/2)/x^2 | | 8-2x=7+5x+1 | | (3-1)/(3-1) | | 5p-28=p | | 8-2x+7= | | 2/5b=-10 | | 5r^2-6r=6 | | 2x/28000 | | x+x+6000=62000 | | 6w-76=3w-28 | | -11(x+8)+727=10+13 | | 6x+56=2x+.28 | | 3-1/3-1 | | (61/2)/(5/6) | | -10/5/2 | | 40x+30y=45 |

Equations solver categories