15r^2+19r-56=0

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Solution for 15r^2+19r-56=0 equation: 


Simplifying
15r2 + 19r + -56 = 0

Reorder the terms:
-56 + 19r + 15r2 = 0

Solving
-56 + 19r + 15r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -3r)(7 + -5r) = 0


Subproblem 1
Set the factor '(-8 + -3r)' equal to zero and attempt to solve:

Simplifying
-8 + -3r = 0

Solving
-8 + -3r = 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 + -3r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3r = 0 + 8
-3r = 0 + 8

Combine like terms: 0 + 8 = 8
-3r = 8

Divide each side by '-3'.
r = -2.666666667

Simplifying
r = -2.666666667

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

Simplifying
7 + -5r = 0

Solving
7 + -5r = 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 + -5r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5r = 0 + -7
-5r = 0 + -7

Combine like terms: 0 + -7 = -7
-5r = -7

Divide each side by '-5'.
r = 1.4

Simplifying
r = 1.4
Solution
r = {-2.666666667, 1.4}

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