12t^2+4t-5t-5=1

Solution for 12t^2+4t-5t-5=1 equation:

Simplifying
12t2 + 4t + -5t + -5 = 1

Reorder the terms:
-5 + 4t + -5t + 12t2 = 1

Combine like terms: 4t + -5t = -1t
-5 + -1t + 12t2 = 1

Solving
-5 + -1t + 12t2 = 1

Solving for variable 't'.

Reorder the terms:
-5 + -1 + -1t + 12t2 = 1 + -1

Combine like terms: -5 + -1 = -6
-6 + -1t + 12t2 = 1 + -1

Combine like terms: 1 + -1 = 0
-6 + -1t + 12t2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -4t)' equal to zero and attempt to solve:

Simplifying
3 + -4t = 0

Solving
3 + -4t = 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 + -4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = 0 + -3
-4t = 0 + -3

Combine like terms: 0 + -3 = -3
-4t = -3

Divide each side by '-4'.
t = 0.75

Simplifying
t = 0.75
Solution
t = {-0.6666666667, 0.75}