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Simplifying
2x(x + -2) = 1 + -4x
Reorder the terms:
2x(-2 + x) = 1 + -4x
(-2 * 2x + x * 2x) = 1 + -4x
(-4x + 2x2) = 1 + -4x
Add '4x' to each side of the equation.
-4x + 4x + 2x2 = 1 + -4x + 4x
Combine like terms: -4x + 4x = 0
0 + 2x2 = 1 + -4x + 4x
2x2 = 1 + -4x + 4x
Combine like terms: -4x + 4x = 0
2x2 = 1 + 0
2x2 = 1
Solving
2x2 = 1
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
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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