0=-5t^2-3t+26

Solution for 0=-5t^2-3t+26 equation:

Simplifying
0 = -5t2 + -3t + 26

Reorder the terms:
0 = 26 + -3t + -5t2

Solving
0 = 26 + -3t + -5t2

Solving for variable 't'.

Combine like terms: 0 + -26 = -26
-26 + 3t + 5t2 = 26 + -3t + -5t2 + -26 + 3t + 5t2

Reorder the terms:
-26 + 3t + 5t2 = 26 + -26 + -3t + 3t + -5t2 + 5t2

Combine like terms: 26 + -26 = 0
-26 + 3t + 5t2 = 0 + -3t + 3t + -5t2 + 5t2
-26 + 3t + 5t2 = -3t + 3t + -5t2 + 5t2

Combine like terms: -3t + 3t = 0
-26 + 3t + 5t2 = 0 + -5t2 + 5t2
-26 + 3t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-26 + 3t + 5t2 = 0

Factor a trinomial.
(-13 + -5t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-13 + -5t)' equal to zero and attempt to solve:

Simplifying
-13 + -5t = 0

Solving
-13 + -5t = 0

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

Add '13' to each side of the equation.
-13 + 13 + -5t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -5t = 0 + 13
-5t = 0 + 13

Combine like terms: 0 + 13 = 13
-5t = 13

Divide each side by '-5'.
t = -2.6

Simplifying
t = -2.6
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {-2.6, 2}