t^2-3ty-70y^2=

Solution for t^2-3ty-70y^2= equation:

Simplifying
t2 + -3ty + -70y2 = 0

Reorder the terms:
-3ty + t2 + -70y2 = 0

Solving
-3ty + t2 + -70y2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(t + -10y)' equal to zero and attempt to solve:

Simplifying
t + -10y = 0

Solving
t + -10y = 0

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

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

Combine like terms: -10y + 10y = 0
t + 0 = 0 + 10y
t = 0 + 10y
Remove the zero:
t = 10y

Simplifying
t = 10y
Subproblem 2
Set the factor '(t + 7y)' equal to zero and attempt to solve:

Simplifying
t + 7y = 0

Solving
t + 7y = 0

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

Add '-7y' to each side of the equation.
t + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
t + 0 = 0 + -7y
t = 0 + -7y
Remove the zero:
t = -7y

Simplifying
t = -7y
Solution
t = {10y, -7y}