10t^2+400t=0

Solution for 10t^2+400t=0 equation:

Simplifying
10t2 + 400t = 0

Reorder the terms:
400t + 10t2 = 0

Solving
400t + 10t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '10t'.
10t(40 + t) = 0

Ignore the factor 10.
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 '(40 + t)' equal to zero and attempt to solve:

Simplifying
40 + t = 0

Solving
40 + t = 0

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

Add '-40' to each side of the equation.
40 + -40 + t = 0 + -40

Combine like terms: 40 + -40 = 0
0 + t = 0 + -40
t = 0 + -40

Combine like terms: 0 + -40 = -40
t = -40

Simplifying
t = -40
Solution
t = {0, -40}