(x-5)(x-5)+20=(x-2)(x-2)

Simple and best practice solution for (x-5)(x-5)+20=(x-2)(x-2) 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)+20=(x-2)(x-2) equation: 


Simplifying
(x + -5)(x + -5) + 20 = (x + -2)(x + -2)

Reorder the terms:
(-5 + x)(x + -5) + 20 = (x + -2)(x + -2)

Reorder the terms:
(-5 + x)(-5 + x) + 20 = (x + -2)(x + -2)

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) + 20 = (x + -2)(x + -2)
((-5 * -5 + x * -5) + x(-5 + x)) + 20 = (x + -2)(x + -2)
((25 + -5x) + x(-5 + x)) + 20 = (x + -2)(x + -2)
(25 + -5x + (-5 * x + x * x)) + 20 = (x + -2)(x + -2)
(25 + -5x + (-5x + x2)) + 20 = (x + -2)(x + -2)

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) + 20 = (x + -2)(x + -2)

Reorder the terms:
25 + 20 + -10x + x2 = (x + -2)(x + -2)

Combine like terms: 25 + 20 = 45
45 + -10x + x2 = (x + -2)(x + -2)

Reorder the terms:
45 + -10x + x2 = (-2 + x)(x + -2)

Reorder the terms:
45 + -10x + x2 = (-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
45 + -10x + x2 = (-2(-2 + x) + x(-2 + x))
45 + -10x + x2 = ((-2 * -2 + x * -2) + x(-2 + x))
45 + -10x + x2 = ((4 + -2x) + x(-2 + x))
45 + -10x + x2 = (4 + -2x + (-2 * x + x * x))
45 + -10x + x2 = (4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
45 + -10x + x2 = (4 + -4x + x2)

Add '-1x2' to each side of the equation.
45 + -10x + x2 + -1x2 = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -10x + 0 = 4 + -4x + x2 + -1x2
45 + -10x = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -10x = 4 + -4x + 0
45 + -10x = 4 + -4x

Solving
45 + -10x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
45 + -10x + 4x = 4 + -4x + 4x

Combine like terms: -10x + 4x = -6x
45 + -6x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
45 + -6x = 4 + 0
45 + -6x = 4

Add '-45' to each side of the equation.
45 + -45 + -6x = 4 + -45

Combine like terms: 45 + -45 = 0
0 + -6x = 4 + -45
-6x = 4 + -45

Combine like terms: 4 + -45 = -41
-6x = -41

Divide each side by '-6'.
x = 6.833333333

Simplifying
x = 6.833333333

See similar equations:

| 2x+y=630 | | e^4(t+x)=2e^4t | | N=(15+25)+3 | | 3x+6=57 | | 2x+4+5x=8 | | x=(630-y)/2 | | 9x-5=-50 | | 13p+5=2p+5 | | 5st+4su-6sv= | | 9x/6=27 | | 3x+17=2x-10 | | z+9=50 | | x*x*x-5*x*x-5*x+36=0 | | z+9=90 | | 145/10=8/g | | 2x/20=5 | | 6-(3A+1)=2 | | N+(-24)=65 | | l+27=35 | | 5+3x=4x-20 | | x^2-2x-63=o | | 3(5x-4)-2(3-2x)=50 | | 32+p=43 | | 2a+4=18 | | 86=n-8 | | 9x+2=2x+21 | | 9-b=1-b | | 17+f=26 | | 8(2n+3)=10n-6+4n | | 2/310=5/c | | 5m^2=180m^4 | | a+41=60 |

Equations solver categories