x(x-8)=15

Simple and best practice solution for x(x-8)=15 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-8)=15 equation: 


Simplifying
x(x + -8) = 15

Reorder the terms:
x(-8 + x) = 15
(-8 * x + x * x) = 15
(-8x + x2) = 15

Solving
-8x + x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + -8x + x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + -8x + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + -8x + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -8x + x2 = 0 + 15
-8x + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
-8x + x2 = 15

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 15 + 16

Reorder the terms:
16 + -8x + x2 = 15 + 16

Combine like terms: 15 + 16 = 31
16 + -8x + x2 = 31

Factor a perfect square on the left side:
(x + -4)(x + -4) = 31

Calculate the square root of the right side: 5.567764363

Break this problem into two subproblems by setting 
(x + -4) equal to 5.567764363 and -5.567764363.


Subproblem 1
x + -4 = 5.567764363

Simplifying
x + -4 = 5.567764363

Reorder the terms:
-4 + x = 5.567764363

Solving
-4 + x = 5.567764363

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 5.567764363 + 4

Combine like terms: -4 + 4 = 0
0 + x = 5.567764363 + 4
x = 5.567764363 + 4

Combine like terms: 5.567764363 + 4 = 9.567764363
x = 9.567764363

Simplifying
x = 9.567764363


Subproblem 2
x + -4 = -5.567764363

Simplifying
x + -4 = -5.567764363

Reorder the terms:
-4 + x = -5.567764363

Solving
-4 + x = -5.567764363

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -5.567764363 + 4

Combine like terms: -4 + 4 = 0
0 + x = -5.567764363 + 4
x = -5.567764363 + 4

Combine like terms: -5.567764363 + 4 = -1.567764363
x = -1.567764363

Simplifying
x = -1.567764363


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.567764363, -1.567764363}

See similar equations:

| 7(15)=6(x+6) | | -5/2-7 | | -7/8k=-12 | | 2/3x-5/2=7 | | .6/.0024 | | -1/3p=3 | | 5(14)=7x | | 9v=7v-10 | | -128=2+10n | | 2x+1=O | | v=3t^4+t^2 | | G-(-7)=12 | | 12y-27y+108=78 | | G-(-7)= | | 6/x=8/24 | | 4=2x+11-x | | (A^2/-3b^4)3 | | x^2(x^3-2x^2+4)=0 | | 3-m/7=14 | | x^2(x^3-2x^2-4)=0 | | 20x-36=90 | | x^2(x^3-2x^2-4x)=0 | | 2(5x+4)=7x-10 | | 2(5x-4)=7x-10 | | an=4 | | 7p-2p+12p= | | 6-(2x+6)=3x+4 | | 6/9m-1/9=9/90 | | 0.6x-0.4y=0 | | 8y-91y-117=381 | | 6h^2+18hg= | | -18(0.33+0.167n)+3n=4 |

Equations solver categories