-2R^2-5R+88=0

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Solution for -2R^2-5R+88=0 equation: 


Simplifying
-2R2 + -5R + 88 = 0

Reorder the terms:
88 + -5R + -2R2 = 0

Solving
88 + -5R + -2R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(11 + -2R)(8 + R) = 0


Subproblem 1
Set the factor '(11 + -2R)' equal to zero and attempt to solve:

Simplifying
11 + -2R = 0

Solving
11 + -2R = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2R = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2R = 0 + -11
-2R = 0 + -11

Combine like terms: 0 + -11 = -11
-2R = -11

Divide each side by '-2'.
R = 5.5

Simplifying
R = 5.5

Subproblem 2
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
Solution
R = {5.5, -8}

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