-16t^2+32t+20=36

Solution for -16t^2+32t+20=36 equation:

Simplifying
-16t2 + 32t + 20 = 36

Reorder the terms:
20 + 32t + -16t2 = 36

Solving
20 + 32t + -16t2 = 36

Solving for variable 't'.

Reorder the terms:
20 + -36 + 32t + -16t2 = 36 + -36

Combine like terms: 20 + -36 = -16
-16 + 32t + -16t2 = 36 + -36

Combine like terms: 36 + -36 = 0
-16 + 32t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-1 + 2t + -1t2) = 0

Factor a trinomial.
16((-1 + t)(1 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

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

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

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

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

Simplifying
1 + -1t = 0

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

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

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

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {1, 1}