0=-2t^2+3t+20

Solution for 0=-2t^2+3t+20 equation:

Simplifying
0 = -2t2 + 3t + 20

Reorder the terms:
0 = 20 + 3t + -2t2

Solving
0 = 20 + 3t + -2t2

Solving for variable 't'.

Combine like terms: 0 + -20 = -20
-20 + -3t + 2t2 = 20 + 3t + -2t2 + -20 + -3t + 2t2

Reorder the terms:
-20 + -3t + 2t2 = 20 + -20 + 3t + -3t + -2t2 + 2t2

Combine like terms: 20 + -20 = 0
-20 + -3t + 2t2 = 0 + 3t + -3t + -2t2 + 2t2
-20 + -3t + 2t2 = 3t + -3t + -2t2 + 2t2

Combine like terms: 3t + -3t = 0
-20 + -3t + 2t2 = 0 + -2t2 + 2t2
-20 + -3t + 2t2 = -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
-20 + -3t + 2t2 = 0

Factor a trinomial.
(-5 + -2t)(4 + -1t) = 0

Subproblem 1
Set the factor '(-5 + -2t)' equal to zero and attempt to solve:

Simplifying
-5 + -2t = 0

Solving
-5 + -2t = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2t = 0 + 5
-2t = 0 + 5

Combine like terms: 0 + 5 = 5
-2t = 5

Divide each side by '-2'.
t = -2.5

Simplifying
t = -2.5
Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 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 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Solution
t = {-2.5, 4}