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Simplifying
200 = 4x2
Solving
200 = 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
200 + -4x2 = 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
200 + -4x2 = 0
Add '-200' to each side of the equation.
200 + -200 + -4x2 = 0 + -200
Combine like terms: 200 + -200 = 0
0 + -4x2 = 0 + -200
-4x2 = 0 + -200
Combine like terms: 0 + -200 = -200
-4x2 = -200
Divide each side by '-4'.
x2 = 50
Simplifying
x2 = 50
Take the square root of each side:
x = {-7.071067812, 7.071067812}
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