5t^2-23-10=0

Solution for 5t^2-23-10=0 equation:

Simplifying
5t2 + -23 + -10 = 0

Reorder the terms:
-23 + -10 + 5t2 = 0

Combine like terms: -23 + -10 = -33
-33 + 5t2 = 0

Solving
-33 + 5t2 = 0

Solving for variable 't'.

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

Add '33' to each side of the equation.
-33 + 33 + 5t2 = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 5t2 = 0 + 33
5t2 = 0 + 33

Combine like terms: 0 + 33 = 33
5t2 = 33

Divide each side by '5'.
t2 = 6.6

Simplifying
t2 = 6.6

Take the square root of each side:
t = {-2.569046516, 2.569046516}