0.28=x(0.25(1-x))

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Solution for 0.28=x(0.25(1-x)) equation:


Simplifying
0.28 = x(0.25(1 + -1x))
0.28 = x((1 * 0.25 + -1x * 0.25))
0.28 = x((0.25 + -0.25x))
0.28 = (0.25 * x + -0.25x * x)
0.28 = (0.25x + -0.25x2)

Solving
0.28 = 0.25x + -0.25x2

Solving for variable 'x'.

Reorder the terms:
0.28 + -0.25x + 0.25x2 = 0.25x + -0.25x + -0.25x2 + 0.25x2

Combine like terms: 0.25x + -0.25x = 0.00
0.28 + -0.25x + 0.25x2 = 0.00 + -0.25x2 + 0.25x2
0.28 + -0.25x + 0.25x2 = -0.25x2 + 0.25x2

Combine like terms: -0.25x2 + 0.25x2 = 0.00
0.28 + -0.25x + 0.25x2 = 0.00

Begin completing the square.  Divide all terms by
0.25 the coefficient of the squared term: 

Divide each side by '0.25'.
1.12 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.12' to each side of the equation.
1.12 + -1x + -1.12 + x2 = 0 + -1.12

Reorder the terms:
1.12 + -1.12 + -1x + x2 = 0 + -1.12

Combine like terms: 1.12 + -1.12 = 0.00
0.00 + -1x + x2 = 0 + -1.12
-1x + x2 = 0 + -1.12

Combine like terms: 0 + -1.12 = -1.12
-1x + x2 = -1.12

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.12 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.12 + 0.25

Combine like terms: -1.12 + 0.25 = -0.87
0.25 + -1x + x2 = -0.87

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.87

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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