25=-16(t-1.5)(t+1)

Solution for 25=-16(t-1.5)(t+1) equation:

Simplifying
25 = -16(t + -1.5)(t + 1)

Reorder the terms:
25 = -16(-1.5 + t)(t + 1)

Reorder the terms:
25 = -16(-1.5 + t)(1 + t)

Multiply (-1.5 + t) * (1 + t)
25 = -16(-1.5(1 + t) + t(1 + t))
25 = -16((1 * -1.5 + t * -1.5) + t(1 + t))
25 = -16((-1.5 + -1.5t) + t(1 + t))
25 = -16(-1.5 + -1.5t + (1 * t + t * t))
25 = -16(-1.5 + -1.5t + (1t + t2))

Combine like terms: -1.5t + 1t = -0.5t
25 = -16(-1.5 + -0.5t + t2)
25 = (-1.5 * -16 + -0.5t * -16 + t2 * -16)
25 = (24 + 8t + -16t2)

Solving
25 = 24 + 8t + -16t2

Solving for variable 't'.

Combine like terms: 25 + -24 = 1
1 + -8t + 16t2 = 24 + 8t + -16t2 + -24 + -8t + 16t2

Reorder the terms:
1 + -8t + 16t2 = 24 + -24 + 8t + -8t + -16t2 + 16t2

Combine like terms: 24 + -24 = 0
1 + -8t + 16t2 = 0 + 8t + -8t + -16t2 + 16t2
1 + -8t + 16t2 = 8t + -8t + -16t2 + 16t2

Combine like terms: 8t + -8t = 0
1 + -8t + 16t2 = 0 + -16t2 + 16t2
1 + -8t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
1 + -8t + 16t2 = 0

Factor a trinomial.
(1 + -4t)(1 + -4t) = 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 '(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 = {0.25, 0.25}