4t^2+t-150=0

Solution for 4t^2+t-150=0 equation:

Simplifying
4t2 + t + -150 = 0

Reorder the terms:
-150 + t + 4t2 = 0

Solving
-150 + t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-25 + -4t)(6 + -1t) = 0

Subproblem 1
Set the factor '(-25 + -4t)' equal to zero and attempt to solve:

Simplifying
-25 + -4t = 0

Solving
-25 + -4t = 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 + -4t = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -4t = 0 + 25
-4t = 0 + 25

Combine like terms: 0 + 25 = 25
-4t = 25

Divide each side by '-4'.
t = -6.25

Simplifying
t = -6.25
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {-6.25, 6}