-30t=2t^2

Solution for -30t=2t^2 equation:

Simplifying
-30t = 2t2

Solving
-30t = 2t2

Solving for variable 't'.

Combine like terms: 2t2 + -2t2 = 0
-30t + -2t2 = 0

Factor out the Greatest Common Factor (GCF), '-2t'.
-2t(15 + t) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(15 + t)' equal to zero and attempt to solve:

Simplifying
15 + t = 0

Solving
15 + t = 0

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

Add '-15' to each side of the equation.
15 + -15 + t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + t = 0 + -15
t = 0 + -15

Combine like terms: 0 + -15 = -15
t = -15

Simplifying
t = -15
Solution
t = {0, -15}