=(x-2)(x-5)

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


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

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

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

Multiply (-2 + x) * (-5 + x)
0 = (-2(-5 + x) + x(-5 + x))
0 = ((-5 * -2 + x * -2) + x(-5 + x))
0 = ((10 + -2x) + x(-5 + x))
0 = (10 + -2x + (-5 * x + x * x))
0 = (10 + -2x + (-5x + x2))

Combine like terms: -2x + -5x = -7x
0 = (10 + -7x + x2)

Solving
0 = 10 + -7x + x2

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + 7x + -1x2 = 10 + -7x + x2 + -10 + 7x + -1x2

Reorder the terms:
-10 + 7x + -1x2 = 10 + -10 + -7x + 7x + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2
-10 + 7x + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
-10 + 7x + -1x2 = 0 + x2 + -1x2
-10 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 7x + -1x2 = 0

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


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

Simplifying
-5 + x = 0

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

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

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

Simplifying
x = 5

Subproblem 2
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
Solution
x = {5, 2}

See similar equations:

| 1+b=-1+2b | | 4x-6=2x-6 | | 3x+15+3y=x+10 | | b+-2b+-4= | | 21=9+3 | | 3(3x+7)=48 | | 21=9+3x | | (-6p)+(-6p)=-112 | | -14-7x=-8x-8 | | (4x+2)=(6x-30) | | 7a+4m+7= | | 6-x+2=-3 | | Y=21x+98 | | 6-6a=-6-5a+5 | | 7/3x+2/5= | | 2x=77 | | y+.8=.6(y+4) | | 3+2x+5=-17 | | 3(2t+2)= | | y=0.2x^3-5 | | -2xb= | | 2m+9=90 | | f(x)=-4cos(x) | | 6y-16=90 | | f(-x)=7x^2+3x-8 | | 518=vot-16t^2 | | 5x+7=x-17 | | 518=vot-16t | | 6x-(2)=26 | | 5(x-2)=8x-x | | p=4x+450 | | 0.3X-1.8=-5.04 |

Equations solver categories