-3t^2+4t+7=0

Solution for -3t^2+4t+7=0 equation:

Simplifying
-3t2 + 4t + 7 = 0

Reorder the terms:
7 + 4t + -3t2 = 0

Solving
7 + 4t + -3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(7 + -3t)(1 + t) = 0

Subproblem 1
Set the factor '(7 + -3t)' equal to zero and attempt to solve:

Simplifying
7 + -3t = 0

Solving
7 + -3t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3t = 0 + -7
-3t = 0 + -7

Combine like terms: 0 + -7 = -7
-3t = -7

Divide each side by '-3'.
t = 2.333333333

Simplifying
t = 2.333333333
Subproblem 2
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
Solution
t = {2.333333333, -1}