310.6-107.84x+125.42x=81.1x(2.88-x)

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Solution for 310.6-107.84x+125.42x=81.1x(2.88-x) equation: 


Simplifying
310.6 + -107.84x + 125.42x = 81.1x(2.88 + -1x)

Combine like terms: -107.84x + 125.42x = 17.58x
310.6 + 17.58x = 81.1x(2.88 + -1x)
310.6 + 17.58x = (2.88 * 81.1x + -1x * 81.1x)
310.6 + 17.58x = (233.568x + -81.1x2)

Solving
310.6 + 17.58x = 233.568x + -81.1x2

Solving for variable 'x'.

Combine like terms: 17.58x + -233.568x = -215.988x
310.6 + -215.988x + 81.1x2 = 233.568x + -81.1x2 + -233.568x + 81.1x2

Reorder the terms:
310.6 + -215.988x + 81.1x2 = 233.568x + -233.568x + -81.1x2 + 81.1x2

Combine like terms: 233.568x + -233.568x = 0.000
310.6 + -215.988x + 81.1x2 = 0.000 + -81.1x2 + 81.1x2
310.6 + -215.988x + 81.1x2 = -81.1x2 + 81.1x2

Combine like terms: -81.1x2 + 81.1x2 = 0.0
310.6 + -215.988x + 81.1x2 = 0.0

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

Divide each side by '81.1'.
3.829839704 + -2.66323058x + x2 = 0

Move the constant term to the right:

Add '-3.829839704' to each side of the equation.
3.829839704 + -2.66323058x + -3.829839704 + x2 = 0 + -3.829839704

Reorder the terms:
3.829839704 + -3.829839704 + -2.66323058x + x2 = 0 + -3.829839704

Combine like terms: 3.829839704 + -3.829839704 = 0.000000000
0.000000000 + -2.66323058x + x2 = 0 + -3.829839704
-2.66323058x + x2 = 0 + -3.829839704

Combine like terms: 0 + -3.829839704 = -3.829839704
-2.66323058x + x2 = -3.829839704

The x term is -2.66323058x.  Take half its coefficient (-1.33161529).
Square it (1.773199281) and add it to both sides.

Add '1.773199281' to each side of the equation.
-2.66323058x + 1.773199281 + x2 = -3.829839704 + 1.773199281

Reorder the terms:
1.773199281 + -2.66323058x + x2 = -3.829839704 + 1.773199281

Combine like terms: -3.829839704 + 1.773199281 = -2.056640423
1.773199281 + -2.66323058x + x2 = -2.056640423

Factor a perfect square on the left side:
(x + -1.33161529)(x + -1.33161529) = -2.056640423

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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