3t^2-76t+25=0

Solution for 3t^2-76t+25=0 equation:

Simplifying
3t2 + -76t + 25 = 0

Reorder the terms:
25 + -76t + 3t2 = 0

Solving
25 + -76t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -3t)(25 + -1t) = 0

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

Simplifying
1 + -3t = 0

Solving
1 + -3t = 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 + -3t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3t = 0 + -1
-3t = 0 + -1

Combine like terms: 0 + -1 = -1
-3t = -1

Divide each side by '-3'.
t = 0.3333333333

Simplifying
t = 0.3333333333
Subproblem 2
Set the factor '(25 + -1t)' equal to zero and attempt to solve:

Simplifying
25 + -1t = 0

Solving
25 + -1t = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1t = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1t = 0 + -25
-1t = 0 + -25

Combine like terms: 0 + -25 = -25
-1t = -25

Divide each side by '-1'.
t = 25

Simplifying
t = 25
Solution
t = {0.3333333333, 25}