7=-16t^2+16t+3

Solution for 7=-16t^2+16t+3 equation:

Simplifying
7 = -16t2 + 16t + 3

Reorder the terms:
7 = 3 + 16t + -16t2

Solving
7 = 3 + 16t + -16t2

Solving for variable 't'.

Combine like terms: 7 + -3 = 4
4 + -16t + 16t2 = 3 + 16t + -16t2 + -3 + -16t + 16t2

Reorder the terms:
4 + -16t + 16t2 = 3 + -3 + 16t + -16t + -16t2 + 16t2

Combine like terms: 3 + -3 = 0
4 + -16t + 16t2 = 0 + 16t + -16t + -16t2 + 16t2
4 + -16t + 16t2 = 16t + -16t + -16t2 + 16t2

Combine like terms: 16t + -16t = 0
4 + -16t + 16t2 = 0 + -16t2 + 16t2
4 + -16t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
4 + -16t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -4t + 4t2) = 0

Factor a trinomial.
4((1 + -2t)(1 + -2t)) = 0

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

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Subproblem 2
Set the factor '(1 + -2t)' equal to zero and attempt to solve:

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Solution
t = {0.5, 0.5}