-r^2+4=3r

Solution for -r^2+4=3r equation:

Simplifying
-1r2 + 4 = 3r

Reorder the terms:
4 + -1r2 = 3r

Solving
4 + -1r2 = 3r

Solving for variable 'r'.

Reorder the terms:
4 + -3r + -1r2 = 3r + -3r

Combine like terms: 3r + -3r = 0
4 + -3r + -1r2 = 0

Factor a trinomial.
(1 + -1r)(4 + r) = 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 '(4 + r)' equal to zero and attempt to solve:

Simplifying
4 + r = 0

Solving
4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Simplifying
r = -4
Solution
r = {1, -4}