Answer:
Simplifying
3r2 + 8r + -3 = 0
Reorder the terms:
-3 + 8r + 3r2 = 0
Solving
-3 + 8r + 3r2 = 0
Solving for variable 'r'.
Factor a trinomial.
(-3 + -1r)(1 + -3r) = 0
Subproblem 1
Set the factor '(-3 + -1r)' equal to zero and attempt to solve:
Simplifying
-3 + -1r = 0
Solving
-3 + -1r = 0
Move all terms containing r to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1r = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1r = 0 + 3
-1r = 0 + 3
Combine like terms: 0 + 3 = 3
-1r = 3
Divide each side by '-1'.
r = -3
Simplifying
r = -3
Subproblem 2
Set the factor '(1 + -3r)' equal to zero and attempt to solve:
Simplifying
1 + -3r = 0
Solving
1 + -3r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -3r = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -3r = 0 + -1
-3r = 0 + -1
Combine like terms: 0 + -1 = -1
-3r = -1
Divide each side by '-3'.
r = 0.3333333333
Simplifying
r = 0.3333333333
Solution
r = {-3, 0.3333333333}
Step-by-step explanation:
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