2.71=x(0.970-x)

Solution for 2.71=x(0.970-x) equation:

Simplifying
2.71 = x(0.970 + -1x)
2.71 = (0.970 * x + -1x * x)
2.71 = (0.970x + -1x2)

Solving
2.71 = 0.970x + -1x2

Solving for variable 'x'.

Reorder the terms:
2.71 + -0.970x + x2 = 0.970x + -0.970x + -1x2 + x2

Combine like terms: 0.970x + -0.970x = 0.000
2.71 + -0.970x + x2 = 0.000 + -1x2 + x2
2.71 + -0.970x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2.71 + -0.970x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2.71' to each side of the equation.
2.71 + -0.970x + -2.71 + x2 = 0 + -2.71

Reorder the terms:
2.71 + -2.71 + -0.970x + x2 = 0 + -2.71

Combine like terms: 2.71 + -2.71 = 0.00
0.00 + -0.970x + x2 = 0 + -2.71
-0.970x + x2 = 0 + -2.71

Combine like terms: 0 + -2.71 = -2.71
-0.970x + x2 = -2.71

The x term is -0.970x.  Take half its coefficient (-0.485).
Square it (0.235225) and add it to both sides.

Add '0.235225' to each side of the equation.
-0.970x + 0.235225 + x2 = -2.71 + 0.235225

Reorder the terms:
0.235225 + -0.970x + x2 = -2.71 + 0.235225

Combine like terms: -2.71 + 0.235225 = -2.474775
0.235225 + -0.970x + x2 = -2.474775

Factor a perfect square on the left side:
(x + -0.485)(x + -0.485) = -2.474775

Can't calculate square root of the right side.

The solution to this equation could not be determined.