x(x-2)=5(x-2)

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


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

Reorder the terms:
x(-2 + x) = 5(x + -2)
(-2 * x + x * x) = 5(x + -2)
(-2x + x2) = 5(x + -2)

Reorder the terms:
-2x + x2 = 5(-2 + x)
-2x + x2 = (-2 * 5 + x * 5)
-2x + x2 = (-10 + 5x)

Solving
-2x + x2 = -10 + 5x

Solving for variable 'x'.

Reorder the terms:
10 + -2x + -5x + x2 = -10 + 5x + 10 + -5x

Combine like terms: -2x + -5x = -7x
10 + -7x + x2 = -10 + 5x + 10 + -5x

Reorder the terms:
10 + -7x + x2 = -10 + 10 + 5x + -5x

Combine like terms: -10 + 10 = 0
10 + -7x + x2 = 0 + 5x + -5x
10 + -7x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -7x + x2 = 0

Factor a trinomial.
(2 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {2, 5}

See similar equations:

| 4x+5x-68=34-8x | | 37x=3700 | | 2/3(x-6)=12 | | 8-5x=35 | | 2z+4=3(z+1) | | X+2x-1=36 | | 30x+80=20x+120 | | 2000x=20 | | 3-9x=5(x-4) | | -27=x+5 | | 3x+7=6x+17 | | 5x-1=0 | | -2-5x=8-9x | | 4a-3+5a= | | 6x^2+22x=8 | | 2y-5y+6=-(3y-6) | | 5x+9=2x+15 | | 2n-7=2n+17 | | x-11=-3.8 | | 3+2n-3n=5 | | 5X(4)=3 | | -3X-17-13=6 | | x-6=2x-14 | | 1-v-2=-1 | | 8(c-5)-3=15 | | 3p+6q=60 | | 3x(2+5x)=(2x+5)(x+1) | | z-18-21= | | -1=5-z-z | | -2h=-6 | | 2b-3b=2 | | 3x+5x+2-3x=-5+5x+7-4x |

Equations solver categories