49t=t^2

Solution for 49t=t^2 equation:

Simplifying
49t = t2

Solving
49t = t2

Solving for variable 't'.

Combine like terms: t2 + -1t2 = 0
49t + -1t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(49 + -1t) = 0

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 '(49 + -1t)' equal to zero and attempt to solve:

Simplifying
49 + -1t = 0

Solving
49 + -1t = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1t = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1t = 0 + -49
-1t = 0 + -49

Combine like terms: 0 + -49 = -49
-1t = -49

Divide each side by '-1'.
t = 49

Simplifying
t = 49
Solution
t = {0, 49}