5t^2+3=8t

Solution for 5t^2+3=8t equation:

Simplifying
5t2 + 3 = 8t

Reorder the terms:
3 + 5t2 = 8t

Solving
3 + 5t2 = 8t

Solving for variable 't'.

Reorder the terms:
3 + -8t + 5t2 = 8t + -8t

Combine like terms: 8t + -8t = 0
3 + -8t + 5t2 = 0

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

Subproblem 1
Set the factor '(3 + -5t)' equal to zero and attempt to solve:

Simplifying
3 + -5t = 0

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

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

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

Divide each side by '-5'.
t = 0.6

Simplifying
t = 0.6
Subproblem 2
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
Solution
t = {0.6, 1}