2x(6-x)=89

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Solution for 2x(6-x)=89 equation:


Simplifying
2x(6 + -1x) = 89
(6 * 2x + -1x * 2x) = 89
(12x + -2x2) = 89

Solving
12x + -2x2 = 89

Solving for variable 'x'.

Reorder the terms:
-89 + 12x + -2x2 = 89 + -89

Combine like terms: 89 + -89 = 0
-89 + 12x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
44.5 + -6x + x2 = 0

Move the constant term to the right:

Add '-44.5' to each side of the equation.
44.5 + -6x + -44.5 + x2 = 0 + -44.5

Reorder the terms:
44.5 + -44.5 + -6x + x2 = 0 + -44.5

Combine like terms: 44.5 + -44.5 = 0.0
0.0 + -6x + x2 = 0 + -44.5
-6x + x2 = 0 + -44.5

Combine like terms: 0 + -44.5 = -44.5
-6x + x2 = -44.5

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -44.5 + 9

Reorder the terms:
9 + -6x + x2 = -44.5 + 9

Combine like terms: -44.5 + 9 = -35.5
9 + -6x + x2 = -35.5

Factor a perfect square on the left side:
(x + -3)(x + -3) = -35.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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