5r^2+56=-43r

Solution for 5r^2+56=-43r equation:

Simplifying
5r2 + 56 = -43r

Reorder the terms:
56 + 5r2 = -43r

Solving
56 + 5r2 = -43r

Solving for variable 'r'.

Reorder the terms:
56 + 43r + 5r2 = -43r + 43r

Combine like terms: -43r + 43r = 0
56 + 43r + 5r2 = 0

Factor a trinomial.
(7 + r)(8 + 5r) = 0

Subproblem 1
Set the factor '(7 + r)' equal to zero and attempt to solve:

Simplifying
7 + r = 0

Solving
7 + r = 0

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

Add '-7' to each side of the equation.
7 + -7 + r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + r = 0 + -7
r = 0 + -7

Combine like terms: 0 + -7 = -7
r = -7

Simplifying
r = -7
Subproblem 2
Set the factor '(8 + 5r)' equal to zero and attempt to solve:

Simplifying
8 + 5r = 0

Solving
8 + 5r = 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 + 5r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5r = 0 + -8
5r = 0 + -8

Combine like terms: 0 + -8 = -8
5r = -8

Divide each side by '5'.
r = -1.6

Simplifying
r = -1.6
Solution
r = {-7, -1.6}