5t^2+9=14t

Solution for 5t^2+9=14t equation:

Simplifying
5t2 + 9 = 14t

Reorder the terms:
9 + 5t2 = 14t

Solving
9 + 5t2 = 14t

Solving for variable 't'.

Reorder the terms:
9 + -14t + 5t2 = 14t + -14t

Combine like terms: 14t + -14t = 0
9 + -14t + 5t2 = 0

Factor a trinomial.
(1 + -1t)(9 + -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 '(9 + -5t)' equal to zero and attempt to solve:

Simplifying
9 + -5t = 0

Solving
9 + -5t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5t = 0 + -9

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

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

Divide each side by '-5'.
t = 1.8

Simplifying
t = 1.8
Solution
t = {1, 1.8}