-4x^2+6=-394

Solution for -4x^2+6=-394 equation:

Simplifying
-4x2 + 6 = -394

Reorder the terms:
6 + -4x2 = -394

Solving
6 + -4x2 = -394

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -4x2 = -394 + -6

Combine like terms: 6 + -6 = 0
0 + -4x2 = -394 + -6
-4x2 = -394 + -6

Combine like terms: -394 + -6 = -400
-4x2 = -400

Divide each side by '-4'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}