5t^2+8=13t

Solution for 5t^2+8=13t equation:

Simplifying
5t2 + 8 = 13t

Reorder the terms:
8 + 5t2 = 13t

Solving
8 + 5t2 = 13t

Solving for variable 't'.

Reorder the terms:
8 + -13t + 5t2 = 13t + -13t

Combine like terms: 13t + -13t = 0
8 + -13t + 5t2 = 0

Factor a trinomial.
(1 + -1t)(8 + -5t) = 0

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Subproblem 2
Set the factor '(8 + -5t)' equal to zero and attempt to solve:

Simplifying
8 + -5t = 0

Solving
8 + -5t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5t = 0 + -8
-5t = 0 + -8

Combine like terms: 0 + -8 = -8
-5t = -8

Divide each side by '-5'.
t = 1.6

Simplifying
t = 1.6
Solution
t = {1, 1.6}