314=t^2-42

Solution for 314=t^2-42 equation:

Simplifying
314 = t2 + -42

Reorder the terms:
314 = -42 + t2

Solving
314 = -42 + t2

Solving for variable 't'.

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

Add '-1t2' to each side of the equation.
314 + -1t2 = -42 + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
314 + -1t2 = -42 + 0
314 + -1t2 = -42

Add '-314' to each side of the equation.
314 + -314 + -1t2 = -42 + -314

Combine like terms: 314 + -314 = 0
0 + -1t2 = -42 + -314
-1t2 = -42 + -314

Combine like terms: -42 + -314 = -356
-1t2 = -356

Divide each side by '-1'.
t2 = 356

Simplifying
t2 = 356

Take the square root of each side:
t = {-18.867962264, 18.867962264}