(2x-4)(x-8)=1008

Simple and best practice solution for (2x-4)(x-8)=1008 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-4)(x-8)=1008 equation: 


Simplifying
(2x + -4)(x + -8) = 1008

Reorder the terms:
(-4 + 2x)(x + -8) = 1008

Reorder the terms:
(-4 + 2x)(-8 + x) = 1008

Multiply (-4 + 2x) * (-8 + x)
(-4(-8 + x) + 2x * (-8 + x)) = 1008
((-8 * -4 + x * -4) + 2x * (-8 + x)) = 1008
((32 + -4x) + 2x * (-8 + x)) = 1008
(32 + -4x + (-8 * 2x + x * 2x)) = 1008
(32 + -4x + (-16x + 2x2)) = 1008

Combine like terms: -4x + -16x = -20x
(32 + -20x + 2x2) = 1008

Solving
32 + -20x + 2x2 = 1008

Solving for variable 'x'.

Reorder the terms:
32 + -1008 + -20x + 2x2 = 1008 + -1008

Combine like terms: 32 + -1008 = -976
-976 + -20x + 2x2 = 1008 + -1008

Combine like terms: 1008 + -1008 = 0
-976 + -20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-488 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-488 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
-488 + -10x + x2 = 0

Solving
-488 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '488' to each side of the equation.
-488 + -10x + 488 + x2 = 0 + 488

Reorder the terms:
-488 + 488 + -10x + x2 = 0 + 488

Combine like terms: -488 + 488 = 0
0 + -10x + x2 = 0 + 488
-10x + x2 = 0 + 488

Combine like terms: 0 + 488 = 488
-10x + x2 = 488

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 488 + 25

Reorder the terms:
25 + -10x + x2 = 488 + 25

Combine like terms: 488 + 25 = 513
25 + -10x + x2 = 513

Factor a perfect square on the left side:
(x + -5)(x + -5) = 513

Calculate the square root of the right side: 22.649503306

Break this problem into two subproblems by setting 
(x + -5) equal to 22.649503306 and -22.649503306.


Subproblem 1
x + -5 = 22.649503306

Simplifying
x + -5 = 22.649503306

Reorder the terms:
-5 + x = 22.649503306

Solving
-5 + x = 22.649503306

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 22.649503306 + 5

Combine like terms: -5 + 5 = 0
0 + x = 22.649503306 + 5
x = 22.649503306 + 5

Combine like terms: 22.649503306 + 5 = 27.649503306
x = 27.649503306

Simplifying
x = 27.649503306


Subproblem 2
x + -5 = -22.649503306

Simplifying
x + -5 = -22.649503306

Reorder the terms:
-5 + x = -22.649503306

Solving
-5 + x = -22.649503306

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -22.649503306 + 5

Combine like terms: -5 + 5 = 0
0 + x = -22.649503306 + 5
x = -22.649503306 + 5

Combine like terms: -22.649503306 + 5 = -17.649503306
x = -17.649503306

Simplifying
x = -17.649503306


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {27.649503306, -17.649503306}
Solution
x = {27.649503306, -17.649503306}

See similar equations:

| 7a-(6a-a)= | | x+-11=37 | | 5x^2+10=3x^2+138 | | -81=-9(w-87) | | 0=n/2-9 | | 81*m=27 | | 2(c-96)=-4 | | .4(3.2x+2)-x=2x+18 | | 6x+3=33+X | | 8x+(5x-3x)= | | 48/-12 | | -1+5y=-51 | | y-3=7/2(x-21) | | 147=6x-39 | | 12=6(z-85) | | 1/2(2x-6)=-18-4x | | 13=6(z-85) | | 2(2x-4)+4x=58 | | 5a(8a-6a)= | | .3(n-5)=.4-.2(n-70) | | -1200+45x=-1800+60x | | 2(2x-4)+4x=59 | | 2x/5-11=23 | | y=110x | | -6x-68-9x=142 | | 2(3x+4)+4x=58 | | 2x=3x-53 | | 2(3x+4)+2x=58 | | 9+2r-3=8r+18-4r | | 36=-4(j-86) | | 67h=4 | | 3(2x-4)+3x=58 |

Equations solver categories