r^2-6r=-5

Simple and best practice solution for r^2-6r=-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 r^2-6r=-5 equation:


Simplifying
r2 + -6r = -5

Reorder the terms:
-6r + r2 = -5

Solving
-6r + r2 = -5

Solving for variable 'r'.

Reorder the terms:
5 + -6r + r2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -6r + r2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5

Solution

r = {1, 5}

See similar equations:

| x+4/12=x-2/10 | | -3(9t+9)= | | 9p+5=43 | | P=1/3r^2h | | 6y=3x-8 | | 6(s+4)= | | 9a+4a+6a-6= | | 4x^3(8x^9)=y | | (8x^3+15x^2+6x+16)/(2x+4) | | 3x+x-7x= | | (6+8i)(7+i)= | | (2-6x)-(4+4x)-(-3+x)=(-4-8x)-(-3+x) | | 5w+3/8=17-4w+7/2 | | -87=29y | | Y-7=(x+1) | | 5y+3y+1=-15 | | 3j-7j=(-12) | | -5q-4+9=12 | | (-8)-9c=19 | | (-9)j-19=-37 | | [7x+12]=12 | | 5.3q-5.3-4.5q=-0.2q-2.7 | | 4x7/8 | | (x-3)(x^2-4x+5)=0 | | 12y+8= | | 1/3(3.14)(12)12(20) | | 8t+6t=9 | | 9(z+1)=-3(5+c) | | 43=3(1+3p)+4 | | 43=3(1+3p)+4 | | 8m+50=964 | | -1/2*32x^2+20x+3=9 |

Equations solver categories