t^2+3t-418=0

Solution for t^2+3t-418=0 equation:

Simplifying
t2 + 3t + -418 = 0

Reorder the terms:
-418 + 3t + t2 = 0

Solving
-418 + 3t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-22 + -1t)(19 + -1t) = 0

Subproblem 1
Set the factor '(-22 + -1t)' equal to zero and attempt to solve:

Simplifying
-22 + -1t = 0

Solving
-22 + -1t = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1t = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1t = 0 + 22
-1t = 0 + 22

Combine like terms: 0 + 22 = 22
-1t = 22

Divide each side by '-1'.
t = -22

Simplifying
t = -22
Subproblem 2
Set the factor '(19 + -1t)' equal to zero and attempt to solve:

Simplifying
19 + -1t = 0

Solving
19 + -1t = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1t = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1t = 0 + -19
-1t = 0 + -19

Combine like terms: 0 + -19 = -19
-1t = -19

Divide each side by '-1'.
t = 19

Simplifying
t = 19
Solution
t = {-22, 19}