64+.09t^2=.13t^2

Solution for 64+.09t^2=.13t^2 equation:

Simplifying
64 + 0.09t2 = 0.13t2

Solving
64 + 0.09t2 = 0.13t2

Solving for variable 't'.

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

Add '-0.13t2' to each side of the equation.
64 + 0.09t2 + -0.13t2 = 0.13t2 + -0.13t2

Combine like terms: 0.09t2 + -0.13t2 = -0.04t2
64 + -0.04t2 = 0.13t2 + -0.13t2

Combine like terms: 0.13t2 + -0.13t2 = 0.00
64 + -0.04t2 = 0.00

Add '-64' to each side of the equation.
64 + -64 + -0.04t2 = 0.00 + -64

Combine like terms: 64 + -64 = 0
0 + -0.04t2 = 0.00 + -64
-0.04t2 = 0.00 + -64

Combine like terms: 0.00 + -64 = -64
-0.04t2 = -64

Divide each side by '-0.04'.
t2 = 1600

Simplifying
t2 = 1600

Take the square root of each side:
t = {-40, 40}