x^2-8x=4x+32

Simple and best practice solution for x^2-8x=4x+32 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^2-8x=4x+32 equation:


Simplifying
x2 + -8x = 4x + 32

Reorder the terms:
-8x + x2 = 4x + 32

Reorder the terms:
-8x + x2 = 32 + 4x

Solving
-8x + x2 = 32 + 4x

Solving for variable 'x'.

Reorder the terms:
-32 + -8x + -4x + x2 = 32 + 4x + -32 + -4x

Combine like terms: -8x + -4x = -12x
-32 + -12x + x2 = 32 + 4x + -32 + -4x

Reorder the terms:
-32 + -12x + x2 = 32 + -32 + 4x + -4x

Combine like terms: 32 + -32 = 0
-32 + -12x + x2 = 0 + 4x + -4x
-32 + -12x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '32' to each side of the equation.
-32 + -12x + 32 + x2 = 0 + 32

Reorder the terms:
-32 + 32 + -12x + x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -12x + x2 = 0 + 32
-12x + x2 = 0 + 32

Combine like terms: 0 + 32 = 32
-12x + x2 = 32

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = 32 + 36

Reorder the terms:
36 + -12x + x2 = 32 + 36

Combine like terms: 32 + 36 = 68
36 + -12x + x2 = 68

Factor a perfect square on the left side:
(x + -6)(x + -6) = 68

Calculate the square root of the right side: 8.246211251

Break this problem into two subproblems by setting 
(x + -6) equal to 8.246211251 and -8.246211251.

Subproblem 1

x + -6 = 8.246211251 Simplifying x + -6 = 8.246211251 Reorder the terms: -6 + x = 8.246211251 Solving -6 + x = 8.246211251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 8.246211251 + 6 Combine like terms: -6 + 6 = 0 0 + x = 8.246211251 + 6 x = 8.246211251 + 6 Combine like terms: 8.246211251 + 6 = 14.246211251 x = 14.246211251 Simplifying x = 14.246211251

Subproblem 2

x + -6 = -8.246211251 Simplifying x + -6 = -8.246211251 Reorder the terms: -6 + x = -8.246211251 Solving -6 + x = -8.246211251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -8.246211251 + 6 Combine like terms: -6 + 6 = 0 0 + x = -8.246211251 + 6 x = -8.246211251 + 6 Combine like terms: -8.246211251 + 6 = -2.246211251 x = -2.246211251 Simplifying x = -2.246211251

Solution

The solution to the problem is based on the solutions from the subproblems. x = {14.246211251, -2.246211251}

See similar equations:

| r+2-(4r-1/2r) | | 600+10x=15x+8 | | -36x^2-246x+336=0 | | -x+(1/2)x=(67/12)+x+(5/3)-2 | | 8/r+9/r-5=q | | -36x^2-246+336=0 | | 2(6k-1)=58 | | -x+(1/2)x=(67/12)x+(5/3)-2 | | 2x+iy-5ix-3y=11-8i | | -1(8+5n)-6=-8-6(n+3) | | 6.10x=.15x+8 | | .6(1x+10)=60 | | x^2+4x=900 | | (3p-3/p)(5p^2/7p-7) | | -(9/4)=-(5/4)x | | 3p-3/p*5p^2/7p-7 | | 10m-8=-8 | | -7-3x=50 | | 60+45d=285 | | 6.2(1.1x-2.5)+3.7(2.4x-3.7)=8.4x-5.2 | | 8-r=-12 | | 6.2(1.1x-2.5)+3.7(2.4x-3.7)=8.4-5.2 | | A=1/2b*10 | | -2b-3=-41 | | 2(n+10)=8n+5(5-n) | | 3(x-4)=3(8-2x) | | 6.75+1.25r=31.75 | | 3.1(2.5x-4.3)-3.8x=4.3(1.4-2.3x) | | -2n-19=77 | | -(3/2)=-(3/2)x | | 55.00+8.50d=123 | | 5x+2=6+3x |

Equations solver categories