100-200x^2+100=64

Solution for 100-200x^2+100=64 equation:

Simplifying
100 + -200x2 + 100 = 64

Reorder the terms:
100 + 100 + -200x2 = 64

Combine like terms: 100 + 100 = 200
200 + -200x2 = 64

Solving
200 + -200x2 = 64

Solving for variable 'x'.

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

Add '-200' to each side of the equation.
200 + -200 + -200x2 = 64 + -200

Combine like terms: 200 + -200 = 0
0 + -200x2 = 64 + -200
-200x2 = 64 + -200

Combine like terms: 64 + -200 = -136
-200x2 = -136

Divide each side by '-200'.
x2 = 0.68

Simplifying
x2 = 0.68

Take the square root of each side:
x = {-0.824621125, 0.824621125}