5t^2-15+2=10

Solution for 5t^2-15+2=10 equation:

Simplifying
5t2 + -15 + 2 = 10

Reorder the terms:
-15 + 2 + 5t2 = 10

Combine like terms: -15 + 2 = -13
-13 + 5t2 = 10

Solving
-13 + 5t2 = 10

Solving for variable 't'.

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

Add '13' to each side of the equation.
-13 + 13 + 5t2 = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 5t2 = 10 + 13
5t2 = 10 + 13

Combine like terms: 10 + 13 = 23
5t2 = 23

Divide each side by '5'.
t2 = 4.6

Simplifying
t2 = 4.6

Take the square root of each side:
t = {-2.144761059, 2.144761059}