25r^2+70r+45=-3

Solution for 25r^2+70r+45=-3 equation:

Simplifying
25r2 + 70r + 45 = -3

Reorder the terms:
45 + 70r + 25r2 = -3

Solving
45 + 70r + 25r2 = -3

Solving for variable 'r'.

Reorder the terms:
45 + 3 + 70r + 25r2 = -3 + 3

Combine like terms: 45 + 3 = 48
48 + 70r + 25r2 = -3 + 3

Combine like terms: -3 + 3 = 0
48 + 70r + 25r2 = 0

Factor a trinomial.
(8 + 5r)(6 + 5r) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + 5r)' equal to zero and attempt to solve:

Simplifying
6 + 5r = 0

Solving
6 + 5r = 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 + 5r = 0 + -6

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

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

Divide each side by '5'.
r = -1.2

Simplifying
r = -1.2
Solution
r = {-1.6, -1.2}