4t^2-10+9=0

Solution for 4t^2-10+9=0 equation:

Simplifying
4t2 + -10 + 9 = 0

Reorder the terms:
-10 + 9 + 4t2 = 0

Combine like terms: -10 + 9 = -1
-1 + 4t2 = 0

Solving
-1 + 4t2 = 0

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + 4t2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4t2 = 0 + 1
4t2 = 0 + 1

Combine like terms: 0 + 1 = 1
4t2 = 1

Divide each side by '4'.
t2 = 0.25

Simplifying
t2 = 0.25

Take the square root of each side:
t = {-0.5, 0.5}