1100x(1-x)=1000

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Solution for 1100x(1-x)=1000 equation:


Simplifying
1100x(1 + -1x) = 1000
(1 * 1100x + -1x * 1100x) = 1000
(1100x + -1100x2) = 1000

Solving
1100x + -1100x2 = 1000

Solving for variable 'x'.

Reorder the terms:
-1000 + 1100x + -1100x2 = 1000 + -1000

Combine like terms: 1000 + -1000 = 0
-1000 + 1100x + -1100x2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(-10 + 11x + -11x2) = 0

Ignore the factor 100.

Subproblem 1

Set the factor '(-10 + 11x + -11x2)' equal to zero and attempt to solve: Simplifying -10 + 11x + -11x2 = 0 Solving -10 + 11x + -11x2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 0.9090909091 + -1x + x2 = 0 Move the constant term to the right: Add '-0.9090909091' to each side of the equation. 0.9090909091 + -1x + -0.9090909091 + x2 = 0 + -0.9090909091 Reorder the terms: 0.9090909091 + -0.9090909091 + -1x + x2 = 0 + -0.9090909091 Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.9090909091 -1x + x2 = 0 + -0.9090909091 Combine like terms: 0 + -0.9090909091 = -0.9090909091 -1x + x2 = -0.9090909091 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 = -0.9090909091 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.9090909091 + 0.25 Combine like terms: -0.9090909091 + 0.25 = -0.6590909091 0.25 + -1x + x2 = -0.6590909091 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.6590909091 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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