-36t^2+39t=-42

Solution for -36t^2+39t=-42 equation:

Simplifying
-36t2 + 39t = -42

Reorder the terms:
39t + -36t2 = -42

Solving
39t + -36t2 = -42

Solving for variable 't'.

Reorder the terms:
42 + 39t + -36t2 = -42 + 42

Combine like terms: -42 + 42 = 0
42 + 39t + -36t2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(14 + 13t + -12t2) = 0

Factor a trinomial.
3((7 + -4t)(2 + 3t)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(7 + -4t)' equal to zero and attempt to solve:

Simplifying
7 + -4t = 0

Solving
7 + -4t = 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 + -4t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4t = 0 + -7
-4t = 0 + -7

Combine like terms: 0 + -7 = -7
-4t = -7

Divide each side by '-4'.
t = 1.75

Simplifying
t = 1.75
Subproblem 2
Set the factor '(2 + 3t)' equal to zero and attempt to solve:

Simplifying
2 + 3t = 0

Solving
2 + 3t = 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 + 3t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3t = 0 + -2
3t = 0 + -2

Combine like terms: 0 + -2 = -2
3t = -2

Divide each side by '3'.
t = -0.6666666667

Simplifying
t = -0.6666666667
Solution
t = {1.75, -0.6666666667}