6t^2+t-70=0

Solution for 6t^2+t-70=0 equation:

Simplifying
6t2 + t + -70 = 0

Reorder the terms:
-70 + t + 6t2 = 0

Solving
-70 + t + 6t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -2t)(10 + -3t) = 0

Subproblem 1
Set the factor '(-7 + -2t)' equal to zero and attempt to solve:

Simplifying
-7 + -2t = 0

Solving
-7 + -2t = 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 + -2t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2t = 0 + 7
-2t = 0 + 7

Combine like terms: 0 + 7 = 7
-2t = 7

Divide each side by '-2'.
t = -3.5

Simplifying
t = -3.5
Subproblem 2
Set the factor '(10 + -3t)' equal to zero and attempt to solve:

Simplifying
10 + -3t = 0

Solving
10 + -3t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3t = 0 + -10
-3t = 0 + -10

Combine like terms: 0 + -10 = -10
-3t = -10

Divide each side by '-3'.
t = 3.333333333

Simplifying
t = 3.333333333
Solution
t = {-3.5, 3.333333333}