4x^2+74-82=0

Solution for 4x^2+74-82=0 equation:

Simplifying
4x2 + 74 + -82 = 0

Reorder the terms:
74 + -82 + 4x2 = 0

Combine like terms: 74 + -82 = -8
-8 + 4x2 = 0

Solving
-8 + 4x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 4x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4x2 = 0 + 8
4x2 = 0 + 8

Combine like terms: 0 + 8 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}