-8t^2+2=-6t

Solution for -8t^2+2=-6t equation:

Simplifying
-8t2 + 2 = -6t

Reorder the terms:
2 + -8t2 = -6t

Solving
2 + -8t2 = -6t

Solving for variable 't'.

Reorder the terms:
2 + 6t + -8t2 = -6t + 6t

Combine like terms: -6t + 6t = 0
2 + 6t + -8t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 3t + -4t2) = 0

Factor a trinomial.
2((1 + -1t)(1 + 4t)) = 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 + 4t)' equal to zero and attempt to solve:

Simplifying
1 + 4t = 0

Solving
1 + 4t = 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 + 4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4t = 0 + -1
4t = 0 + -1

Combine like terms: 0 + -1 = -1
4t = -1

Divide each side by '4'.
t = -0.25

Simplifying
t = -0.25
Solution
t = {1, -0.25}