4t^2+t-60=0

Solution for 4t^2+t-60=0 equation:

Simplifying
4t2 + t + -60 = 0

Reorder the terms:
-60 + t + 4t2 = 0

Solving
-60 + t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -1t)(15 + -4t) = 0

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

Simplifying
-4 + -1t = 0

Solving
-4 + -1t = 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 + -1t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1t = 0 + 4
-1t = 0 + 4

Combine like terms: 0 + 4 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4
Subproblem 2
Set the factor '(15 + -4t)' equal to zero and attempt to solve:

Simplifying
15 + -4t = 0

Solving
15 + -4t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4t = 0 + -15
-4t = 0 + -15

Combine like terms: 0 + -15 = -15
-4t = -15

Divide each side by '-4'.
t = 3.75

Simplifying
t = 3.75
Solution
t = {-4, 3.75}