5r^2-29r-38=4

Solution for 5r^2-29r-38=4 equation:

Simplifying
5r2 + -29r + -38 = 4

Reorder the terms:
-38 + -29r + 5r2 = 4

Solving
-38 + -29r + 5r2 = 4

Solving for variable 'r'.

Reorder the terms:
-38 + -4 + -29r + 5r2 = 4 + -4

Combine like terms: -38 + -4 = -42
-42 + -29r + 5r2 = 4 + -4

Combine like terms: 4 + -4 = 0
-42 + -29r + 5r2 = 0

Factor a trinomial.
(-6 + -5r)(7 + -1r) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 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 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {-1.2, 7}