-23t+5t^2-42=

Solution for -23t+5t^2-42= equation:

Simplifying
-23t + 5t2 + -42 = 0

Reorder the terms:
-42 + -23t + 5t2 = 0

Solving
-42 + -23t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -5t)(6 + -1t) = 0

Subproblem 1
Set the factor '(-7 + -5t)' equal to zero and attempt to solve:

Simplifying
-7 + -5t = 0

Solving
-7 + -5t = 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 + -5t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5t = 0 + 7
-5t = 0 + 7

Combine like terms: 0 + 7 = 7
-5t = 7

Divide each side by '-5'.
t = -1.4

Simplifying
t = -1.4
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {-1.4, 6}