5t^2+4=9t

Solution for 5t^2+4=9t equation:

Simplifying
5t2 + 4 = 9t

Reorder the terms:
4 + 5t2 = 9t

Solving
4 + 5t2 = 9t

Solving for variable 't'.

Reorder the terms:
4 + -9t + 5t2 = 9t + -9t

Combine like terms: 9t + -9t = 0
4 + -9t + 5t2 = 0

Factor a trinomial.
(4 + -5t)(1 + -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 '(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 = {0.8, 1}