20t^2+28t-24=

Solution for 20t^2+28t-24= equation:

Simplifying
20t2 + 28t + -24 = 0

Reorder the terms:
-24 + 28t + 20t2 = 0

Solving
-24 + 28t + 20t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 7t + 5t2) = 0

Factor a trinomial.
4((-2 + -1t)(3 + -5t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + -1t)' equal to zero and attempt to solve:

Simplifying
-2 + -1t = 0

Solving
-2 + -1t = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 0 + 2
-1t = 0 + 2

Combine like terms: 0 + 2 = 2
-1t = 2

Divide each side by '-1'.
t = -2

Simplifying
t = -2
Subproblem 2
Set the factor '(3 + -5t)' equal to zero and attempt to solve:

Simplifying
3 + -5t = 0

Solving
3 + -5t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5t = 0 + -3
-5t = 0 + -3

Combine like terms: 0 + -3 = -3
-5t = -3

Divide each side by '-5'.
t = 0.6

Simplifying
t = 0.6
Solution
t = {-2, 0.6}