2x(x-5)+5(x-5)=0

Simple and best practice solution for 2x(x-5)+5(x-5)=0 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(x-5)+5(x-5)=0 equation: 


Simplifying
2x(x + -5) + 5(x + -5) = 0

Reorder the terms:
2x(-5 + x) + 5(x + -5) = 0
(-5 * 2x + x * 2x) + 5(x + -5) = 0
(-10x + 2x2) + 5(x + -5) = 0

Reorder the terms:
-10x + 2x2 + 5(-5 + x) = 0
-10x + 2x2 + (-5 * 5 + x * 5) = 0
-10x + 2x2 + (-25 + 5x) = 0

Reorder the terms:
-25 + -10x + 5x + 2x2 = 0

Combine like terms: -10x + 5x = -5x
-25 + -5x + 2x2 = 0

Solving
-25 + -5x + 2x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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, 5}

See similar equations:

| 9n^2+6n-8= | | 14x-2x^2=0 | | -6y=-4x | | 0.002x=12 | | 67+92+7a=243 | | 9r^2-6r-8= | | -x^2+30-x=0 | | y+9=8/9(1) | | -6-12=4x+17-3x | | 22+2x=17+2x | | 2.8=0.8b+1.2 | | 2x-3=1.69 | | X^2+5-75=0 | | 0.13x=1.69 | | 3(4x+6)=2(9x-24) | | 0.01x=-1 | | -5=100 | | 15s^2-8s-16= | | 6z-14=-38+2z | | X-(-76)=25 | | 5X+-6y=19 | | (-2c+3d)(-5)+3(-2c)-(-8d)=0 | | 4w^2+3w-1= | | Y-3=.75(x-8) | | 128-1/3u=2 | | 7z-18=10+3z | | -q^2-6q+27=0 | | n^2-14+48=0 | | 4(d-2)=32 | | (2c-4)(c+3)= | | 6q^2+5q-4= | | 2x-15=x+55 |

Equations solver categories