(-4t^2+175)=0

Solution for (-4t^2+175)=0 equation:

Simplifying
(-4t2 + 175) = 0

Reorder the terms:
(175 + -4t2) = 0

Remove parenthesis around (175 + -4t2)
175 + -4t2 = 0

Solving
175 + -4t2 = 0

Solving for variable 't'.

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

Add '-175' to each side of the equation.
175 + -175 + -4t2 = 0 + -175

Combine like terms: 175 + -175 = 0
0 + -4t2 = 0 + -175
-4t2 = 0 + -175

Combine like terms: 0 + -175 = -175
-4t2 = -175

Divide each side by '-4'.
t2 = 43.75

Simplifying
t2 = 43.75

Take the square root of each side:
t = {-6.614378278, 6.614378278}