6=4t^2-5t

Solution for 6=4t^2-5t equation:

Simplifying
6 = 4t2 + -5t

Reorder the terms:
6 = -5t + 4t2

Solving
6 = -5t + 4t2

Solving for variable 't'.

Reorder the terms:
6 + 5t + -4t2 = -5t + 5t + 4t2 + -4t2

Combine like terms: -5t + 5t = 0
6 + 5t + -4t2 = 0 + 4t2 + -4t2
6 + 5t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
6 + 5t + -4t2 = 0

Factor a trinomial.
(2 + -1t)(3 + 4t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + 4t)' equal to zero and attempt to solve:

Simplifying
3 + 4t = 0

Solving
3 + 4t = 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 + 4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4t = 0 + -3
4t = 0 + -3

Combine like terms: 0 + -3 = -3
4t = -3

Divide each side by '4'.
t = -0.75

Simplifying
t = -0.75
Solution
t = {2, -0.75}