0=-4t^2+15t+4

Solution for 0=-4t^2+15t+4 equation:

Simplifying
0 = -4t2 + 15t + 4

Reorder the terms:
0 = 4 + 15t + -4t2

Solving
0 = 4 + 15t + -4t2

Solving for variable 't'.

Combine like terms: 0 + -4 = -4
-4 + -15t + 4t2 = 4 + 15t + -4t2 + -4 + -15t + 4t2

Reorder the terms:
-4 + -15t + 4t2 = 4 + -4 + 15t + -15t + -4t2 + 4t2

Combine like terms: 4 + -4 = 0
-4 + -15t + 4t2 = 0 + 15t + -15t + -4t2 + 4t2
-4 + -15t + 4t2 = 15t + -15t + -4t2 + 4t2

Combine like terms: 15t + -15t = 0
-4 + -15t + 4t2 = 0 + -4t2 + 4t2
-4 + -15t + 4t2 = -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
-4 + -15t + 4t2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
t = {-0.25, 4}