70=3t+16t^2

Solution for 70=3t+16t^2 equation:

Simplifying
70 = 3t + 16t2

Solving
70 = 3t + 16t2

Solving for variable 't'.

Reorder the terms:
70 + -3t + -16t2 = 3t + -3t + 16t2 + -16t2

Combine like terms: 3t + -3t = 0
70 + -3t + -16t2 = 0 + 16t2 + -16t2
70 + -3t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
70 + -3t + -16t2 = 0

Factor a trinomial.
(2 + -1t)(35 + 16t) = 0

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 '(35 + 16t)' equal to zero and attempt to solve:

Simplifying
35 + 16t = 0

Solving
35 + 16t = 0

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

Add '-35' to each side of the equation.
35 + -35 + 16t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 16t = 0 + -35
16t = 0 + -35

Combine like terms: 0 + -35 = -35
16t = -35

Divide each side by '16'.
t = -2.1875

Simplifying
t = -2.1875
Solution
t = {2, -2.1875}