x(x+8)=64

Simple and best practice solution for x(x+8)=64 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)=64 equation:


Simplifying
x(x + 8) = 64

Reorder the terms:
x(8 + x) = 64
(8 * x + x * x) = 64
(8x + x2) = 64

Solving
8x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + 8x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + 8x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + 8x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 8x + x2 = 0 + 64
8x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
8x + x2 = 64

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 = 64 + 16

Reorder the terms:
16 + 8x + x2 = 64 + 16

Combine like terms: 64 + 16 = 80
16 + 8x + x2 = 80

Factor a perfect square on the left side:
(x + 4)(x + 4) = 80

Calculate the square root of the right side: 8.94427191

Break this problem into two subproblems by setting 
(x + 4) equal to 8.94427191 and -8.94427191.

Subproblem 1

x + 4 = 8.94427191 Simplifying x + 4 = 8.94427191 Reorder the terms: 4 + x = 8.94427191 Solving 4 + x = 8.94427191 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 = 8.94427191 + -4 Combine like terms: 4 + -4 = 0 0 + x = 8.94427191 + -4 x = 8.94427191 + -4 Combine like terms: 8.94427191 + -4 = 4.94427191 x = 4.94427191 Simplifying x = 4.94427191

Subproblem 2

x + 4 = -8.94427191 Simplifying x + 4 = -8.94427191 Reorder the terms: 4 + x = -8.94427191 Solving 4 + x = -8.94427191 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 = -8.94427191 + -4 Combine like terms: 4 + -4 = 0 0 + x = -8.94427191 + -4 x = -8.94427191 + -4 Combine like terms: -8.94427191 + -4 = -12.94427191 x = -12.94427191 Simplifying x = -12.94427191

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.94427191, -12.94427191}

See similar equations:

| 92-4x=23x+17 | | 79-6x=12x+19 | | 149-4x=23x+23 | | -4/3(x+6)+1/3x=-7 | | (4x+3y)-(2x-5y)=0 | | 3x+2=7-5 | | 142=-3(6-8p)-8 | | 5/6x-8/21y=4/7 | | 2w^5y^7+14v^8w^2y^8=0 | | 2x+6x+3x=12 | | 9/10(6,4) | | 0.4x-0.2x=1 | | 8(4+v)+39v=10v | | (x+3)+6=4 | | (9/10)(6,4) | | X+2(2x)=40 | | 188=-4(1+8m) | | 1/4(20-4a)=6a | | y=-8/9(18)+11 | | 10=7n-5+8 | | 1/2x+8=14 | | 2x+y/2=325 | | 3/2x^2=16 | | -4(5-3a)=4a+52 | | 7/2x+3y=1390 | | 0.50x+0.35(30)=31.5 | | 8y+10=10y+3 | | 88-6x=21x+19 | | 8x+2=-6+3x+18 | | x+y=200 | | 1.4x=-1.05 | | 3-5y=7 |

Equations solver categories