t+60t^2=4

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

Simplifying
t + 60t2 = 4

Solving
t + 60t2 = 4

Solving for variable 't'.

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

Combine like terms: 4 + -4 = 0
-4 + t + 60t2 = 0

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

Subproblem 1
Set the factor '(-4 + -15t)' equal to zero and attempt to solve:

Simplifying
-4 + -15t = 0

Solving
-4 + -15t = 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 + -15t = 0 + 4

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

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

Divide each side by '-15'.
t = -0.2666666667

Simplifying
t = -0.2666666667
Subproblem 2
Set the factor '(1 + -4t)' equal to zero and attempt to solve:

Simplifying
1 + -4t = 0

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

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

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

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25
Solution
t = {-0.2666666667, 0.25}