0=-2x^2+1

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Solution for 0=-2x^2+1 equation: 


Simplifying
0 = -2x2 + 1

Reorder the terms:
0 = 1 + -2x2

Solving
0 = 1 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
0 + 2x2 = 1 + -2x2 + 2x2
Remove the zero:
2x2 = 1 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
2x2 = 1 + 0
2x2 = 1

Divide each side by '2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}

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