(x-5)*(x-5)-(x-1)*(x-1)=8

Simple and best practice solution for (x-5)*(x-5)-(x-1)*(x-1)=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-5)*(x-5)-(x-1)*(x-1)=8 equation: 


Simplifying
(x + -5)(x + -5) + -1(x + -1)(x + -1) = 8

Reorder the terms:
(-5 + x)(x + -5) + -1(x + -1)(x + -1) = 8

Reorder the terms:
(-5 + x)(-5 + x) + -1(x + -1)(x + -1) = 8

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) + -1(x + -1)(x + -1) = 8
((-5 * -5 + x * -5) + x(-5 + x)) + -1(x + -1)(x + -1) = 8
((25 + -5x) + x(-5 + x)) + -1(x + -1)(x + -1) = 8
(25 + -5x + (-5 * x + x * x)) + -1(x + -1)(x + -1) = 8
(25 + -5x + (-5x + x2)) + -1(x + -1)(x + -1) = 8

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) + -1(x + -1)(x + -1) = 8

Reorder the terms:
25 + -10x + x2 + -1(-1 + x)(x + -1) = 8

Reorder the terms:
25 + -10x + x2 + -1(-1 + x)(-1 + x) = 8

Multiply (-1 + x) * (-1 + x)
25 + -10x + x2 + -1(-1(-1 + x) + x(-1 + x)) = 8
25 + -10x + x2 + -1((-1 * -1 + x * -1) + x(-1 + x)) = 8
25 + -10x + x2 + -1((1 + -1x) + x(-1 + x)) = 8
25 + -10x + x2 + -1(1 + -1x + (-1 * x + x * x)) = 8
25 + -10x + x2 + -1(1 + -1x + (-1x + x2)) = 8

Combine like terms: -1x + -1x = -2x
25 + -10x + x2 + -1(1 + -2x + x2) = 8
25 + -10x + x2 + (1 * -1 + -2x * -1 + x2 * -1) = 8
25 + -10x + x2 + (-1 + 2x + -1x2) = 8

Reorder the terms:
25 + -1 + -10x + 2x + x2 + -1x2 = 8

Combine like terms: 25 + -1 = 24
24 + -10x + 2x + x2 + -1x2 = 8

Combine like terms: -10x + 2x = -8x
24 + -8x + x2 + -1x2 = 8

Combine like terms: x2 + -1x2 = 0
24 + -8x + 0 = 8
24 + -8x = 8

Solving
24 + -8x = 8

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -8x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = 8 + -24
-8x = 8 + -24

Combine like terms: 8 + -24 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

See similar equations:

| 11x-1.8=7x+1.4 | | (x+4)*(x+4)+1=x*x-7 | | 4.5y+1=-5+5y | | -18-4x=10-8x | | 68=-4(5b-3) | | x-9=3x-6 | | 3x=5x-10 | | 12x+71=7x+11 | | 5x-5=2x-7 | | 2(x-5)=3(x+3) | | 7(2x+4)-9=3(5x+2) | | 2(3+3h)=16 | | z+99=24 | | 7x-(2x+3)=-2x-3 | | 4x+6=-6-7x | | 5x+14=-61-10X | | (-3x+7)-(8x-2)=5x+9 | | 9x^2=9x^2-21x-21x+49 | | 2d-3=d+3 | | 6x^2=-49 | | 6x+42=10x+10 | | 11x-13=86 | | 0.95x+.05(16-x)=.10(26) | | 3x-5=12x-42 | | 3x+21=10x-42 | | 6x^2=-42 | | 3x+11=-9 | | 5x-1=7x-1 | | (576/8*76/9)*3=3x*5-6 | | 4x^2-4x=25 | | 10-20*100=x | | x/5-3=x+1/5 |

Equations solver categories