784=3t^2

Solution for 784=3t^2 equation:

Simplifying
784 = 3t2

Solving
784 = 3t2

Solving for variable 't'.

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

Add '-3t2' to each side of the equation.
784 + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
784 + -3t2 = 0

Add '-784' to each side of the equation.
784 + -784 + -3t2 = 0 + -784

Combine like terms: 784 + -784 = 0
0 + -3t2 = 0 + -784
-3t2 = 0 + -784

Combine like terms: 0 + -784 = -784
-3t2 = -784

Divide each side by '-3'.
t2 = 261.3333333

Simplifying
t2 = 261.3333333

Take the square root of each side:
t = {-16.165807536, 16.165807536}