0=-5t^2+11t+12

Solution for 0=-5t^2+11t+12 equation:

Simplifying
0 = -5t2 + 11t + 12

Reorder the terms:
0 = 12 + 11t + -5t2

Solving
0 = 12 + 11t + -5t2

Solving for variable 't'.

Combine like terms: 0 + -12 = -12
-12 + -11t + 5t2 = 12 + 11t + -5t2 + -12 + -11t + 5t2

Reorder the terms:
-12 + -11t + 5t2 = 12 + -12 + 11t + -11t + -5t2 + 5t2

Combine like terms: 12 + -12 = 0
-12 + -11t + 5t2 = 0 + 11t + -11t + -5t2 + 5t2
-12 + -11t + 5t2 = 11t + -11t + -5t2 + 5t2

Combine like terms: 11t + -11t = 0
-12 + -11t + 5t2 = 0 + -5t2 + 5t2
-12 + -11t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-12 + -11t + 5t2 = 0

Factor a trinomial.
(-4 + -5t)(3 + -1t) = 0

Subproblem 1
Set the factor '(-4 + -5t)' equal to zero and attempt to solve:

Simplifying
-4 + -5t = 0

Solving
-4 + -5t = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5t = 0 + 4
-5t = 0 + 4

Combine like terms: 0 + 4 = 4
-5t = 4

Divide each side by '-5'.
t = -0.8

Simplifying
t = -0.8
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-0.8, 3}