4r^2+39r+56=0

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Solution for 4r^2+39r+56=0 equation: 


Simplifying
4r2 + 39r + 56 = 0

Reorder the terms:
56 + 39r + 4r2 = 0

Solving
56 + 39r + 4r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(8 + r)(7 + 4r) = 0


Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying
8 + r = 0

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

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

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

Simplifying
r = -8

Subproblem 2
Set the factor '(7 + 4r)' equal to zero and attempt to solve:

Simplifying
7 + 4r = 0

Solving
7 + 4r = 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 + 4r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4r = 0 + -7
4r = 0 + -7

Combine like terms: 0 + -7 = -7
4r = -7

Divide each side by '4'.
r = -1.75

Simplifying
r = -1.75
Solution
r = {-8, -1.75}

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