10=-2t^2+4t+8

Solution for 10=-2t^2+4t+8 equation:

Simplifying
10 = -2t2 + 4t + 8

Reorder the terms:
10 = 8 + 4t + -2t2

Solving
10 = 8 + 4t + -2t2

Solving for variable 't'.

Combine like terms: 10 + -8 = 2
2 + -4t + 2t2 = 8 + 4t + -2t2 + -8 + -4t + 2t2

Reorder the terms:
2 + -4t + 2t2 = 8 + -8 + 4t + -4t + -2t2 + 2t2

Combine like terms: 8 + -8 = 0
2 + -4t + 2t2 = 0 + 4t + -4t + -2t2 + 2t2
2 + -4t + 2t2 = 4t + -4t + -2t2 + 2t2

Combine like terms: 4t + -4t = 0
2 + -4t + 2t2 = 0 + -2t2 + 2t2
2 + -4t + 2t2 = -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
2 + -4t + 2t2 = 0

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

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

Ignore the factor 2.
Subproblem 1
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
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}