(r-8)(r-2)=0

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


Simplifying
(r + -8)(r + -2) = 0

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

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

Multiply (-8 + r) * (-2 + r)
(-8(-2 + r) + r(-2 + r)) = 0
((-2 * -8 + r * -8) + r(-2 + r)) = 0
((16 + -8r) + r(-2 + r)) = 0
(16 + -8r + (-2 * r + r * r)) = 0
(16 + -8r + (-2r + r2)) = 0

Combine like terms: -8r + -2r = -10r
(16 + -10r + r2) = 0

Solving
16 + -10r + r2 = 0

Solving for variable 'r'.

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

Subproblem 1

Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2

Subproblem 2

Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8

Solution

r = {2, 8}

See similar equations:

| SIN(32)=X/9.7 | | 7x+30+9x+42=104 | | y/4-x/3=1/2 | | 7x-8/3=128 | | 6c+11= | | -2a-(-3a)+-(21)-4(-a+b)= | | -6y=-20+1z | | (1/32)^(2/5) | | x^(5/3)=2/3 | | 64pcubedq-49pqcubed= | | 5xsquare+25x=0 | | 4-(-2a)=5+1 | | 4-5/4 | | (x-1)/(2x^2.5)=0 | | 5x+14-5x=16 | | -6y-10z=-20 | | ((5x-5)^2/3)-3=13 | | 7a^2+25-40a=0 | | -5+2x=-3+8x | | 7a^2+25-40a^2=0 | | 2(5x-4)=11-(3+2x) | | x^2+6x=58+0 | | (13a^5b^5)^1/7 | | 81=2x^2/8 | | 4x-(-x+3)+3=5-2(3-4x)-8 | | 81-225x^2= | | 228=(2x+10)(3x) | | -6x+8+15x=8x-5 | | 6mn-(-9n)-2n= | | 6c+8=8c | | 5-8w=113+4w | | 9x-15=3y |

Equations solver categories