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

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

Simplifying
-16t2 + 16t + 3 = 7

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

Solving
3 + 16t + -16t2 = 7

Solving for variable 't'.

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

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

Combine like terms: 7 + -7 = 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}