(x-2)(8-x)=0

Simple and best practice solution for (x-2)(8-x)=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 (x-2)(8-x)=0 equation:


Simplifying
(x + -2)(8 + -1x) = 0

Reorder the terms:
(-2 + x)(8 + -1x) = 0

Multiply (-2 + x) * (8 + -1x)
(-2(8 + -1x) + x(8 + -1x)) = 0
((8 * -2 + -1x * -2) + x(8 + -1x)) = 0
((-16 + 2x) + x(8 + -1x)) = 0
(-16 + 2x + (8 * x + -1x * x)) = 0
(-16 + 2x + (8x + -1x2)) = 0

Combine like terms: 2x + 8x = 10x
(-16 + 10x + -1x2) = 0

Solving
-16 + 10x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

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 = {8, 2}

See similar equations:

| -4x+7=7x+5 | | 12m+3n-5m+9n= | | X^2-3x+x^2+4x+x+28=180 | | 5x^2+48x-116=0 | | 2p^2+11p=-5 | | -5.6x-5.7=-9.5x+6.9 | | X^5-16x^2+x^3-16=0 | | 15-3v-7+7=-v+4+1 | | 3.4x+67.3=4.3-7.1x | | 0-1=-14v+14v | | X^2-3x=x^2+4x+x+28 | | 3r^2+8r-28=0 | | Y=-15+200 | | k-9-3=12+13 | | 6x+2=-x+12 | | -(2x-5)-(2x-6)+3=-4(x-1)-(4x+5)+3 | | -8/5x-4=2 | | -9.4x+7.7=0.3x-5 | | 24-5x=13 | | tan^2x+tanx-6=0 | | 5(3+3x)-2=103 | | 6x-4x-3=4 | | fuc+k=25 | | def=1s | | 6x-16=8x+3 | | 18x-6=w | | 5abc=10def | | 0.25x+3.6=1.6 | | 2(2x-1)+3(2x+3)=8x+9 | | x+x+3x=5 | | 3c=3c+36 | | z^2+(4+6i)*z-4-12i=0 |

Equations solver categories