0=-8t^2-4t+12

Solution for 0=-8t^2-4t+12 equation:

Simplifying
0 = -8t2 + -4t + 12

Reorder the terms:
0 = 12 + -4t + -8t2

Solving
0 = 12 + -4t + -8t2

Solving for variable 't'.

Combine like terms: 0 + -12 = -12
-12 + 4t + 8t2 = 12 + -4t + -8t2 + -12 + 4t + 8t2

Reorder the terms:
-12 + 4t + 8t2 = 12 + -12 + -4t + 4t + -8t2 + 8t2

Combine like terms: 12 + -12 = 0
-12 + 4t + 8t2 = 0 + -4t + 4t + -8t2 + 8t2
-12 + 4t + 8t2 = -4t + 4t + -8t2 + 8t2

Combine like terms: -4t + 4t = 0
-12 + 4t + 8t2 = 0 + -8t2 + 8t2
-12 + 4t + 8t2 = -8t2 + 8t2

Combine like terms: -8t2 + 8t2 = 0
-12 + 4t + 8t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + t + 2t2) = 0

Factor a trinomial.
4((-3 + -2t)(1 + -1t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -2t)' equal to zero and attempt to solve:

Simplifying
-3 + -2t = 0

Solving
-3 + -2t = 0

Move all terms containing t to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -2t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2t = 0 + 3
-2t = 0 + 3

Combine like terms: 0 + 3 = 3
-2t = 3

Divide each side by '-2'.
t = -1.5

Simplifying
t = -1.5
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 = {-1.5, 1}