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Simplifying
-4x2 + 8 = 0
Reorder the terms:
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}
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