r^2-17r+25=-8r+7

Simple and best practice solution for r^2-17r+25=-8r+7 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^2-17r+25=-8r+7 equation:


Simplifying
r2 + -17r + 25 = -8r + 7

Reorder the terms:
25 + -17r + r2 = -8r + 7

Reorder the terms:
25 + -17r + r2 = 7 + -8r

Solving
25 + -17r + r2 = 7 + -8r

Solving for variable 'r'.

Reorder the terms:
25 + -7 + -17r + 8r + r2 = 7 + -8r + -7 + 8r

Combine like terms: 25 + -7 = 18
18 + -17r + 8r + r2 = 7 + -8r + -7 + 8r

Combine like terms: -17r + 8r = -9r
18 + -9r + r2 = 7 + -8r + -7 + 8r

Reorder the terms:
18 + -9r + r2 = 7 + -7 + -8r + 8r

Combine like terms: 7 + -7 = 0
18 + -9r + r2 = 0 + -8r + 8r
18 + -9r + r2 = -8r + 8r

Combine like terms: -8r + 8r = 0
18 + -9r + r2 = 0

Factor a trinomial.
(3 + -1r)(6 + -1r) = 0

Subproblem 1

Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3

Subproblem 2

Set the factor '(6 + -1r)' equal to zero and attempt to solve: Simplifying 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6

Solution

r = {3, 6}

See similar equations:

| 3.7-22.3=6.2x | | x-3.2=5 | | 6b+5=b | | 100[0.03(x+3)]= | | 12+2p=3 | | 24b+5=4b | | X^2+42x-0.21=0 | | d=24 | | -7x+32=-3(x-8) | | c+30=360 | | 2x-2=12-x-62 | | x=5-4x | | 3n-10/2=19 | | 2(5r-9)=10r-18 | | 3(x-7)+2=20 | | 7-7y=1-8y | | -3x+6-5(x-1)=-2(2x-4)-5x+5 | | 4(3x-2)+8=28 | | Ine^3=x | | 2x-3=4c | | 4/5-3/4=n | | 3.9x-6.22=4.7 | | x^2+(x+2)(x+4)-224=0 | | 9+3n=9n | | 4/5-3/4= | | 4y+5=3y-1 | | 36t^3-9t=0 | | 12x-25y=0 | | -4d-20-3d=8 | | 109=12n-13 | | 5x+37=12x-62 | | 20n=10 |

Equations solver categories