x(1-x)=175

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Solution for x(1-x)=175 equation:


Simplifying
x(1 + -1x) = 175
(1 * x + -1x * x) = 175
(1x + -1x2) = 175

Solving
1x + -1x2 = 175

Solving for variable 'x'.

Reorder the terms:
-175 + 1x + -1x2 = 175 + -175

Combine like terms: 175 + -175 = 0
-175 + 1x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
175 + -1x + x2 = 0

Move the constant term to the right:

Add '-175' to each side of the equation.
175 + -1x + -175 + x2 = 0 + -175

Reorder the terms:
175 + -175 + -1x + x2 = 0 + -175

Combine like terms: 175 + -175 = 0
0 + -1x + x2 = 0 + -175
-1x + x2 = 0 + -175

Combine like terms: 0 + -175 = -175
-1x + x2 = -175

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 = -175 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -175 + 0.25

Combine like terms: -175 + 0.25 = -174.75
0.25 + -1x + x2 = -174.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -174.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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