(13-6x)(x)=15

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Solution for (13-6x)(x)=15 equation:


Simplifying
(13 + -6x)(x) = 15

Reorder the terms for easier multiplication:
x(13 + -6x) = 15
(13 * x + -6x * x) = 15
(13x + -6x2) = 15

Solving
13x + -6x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + 13x + -6x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 13x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
2.5 + -2.166666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.166666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.166666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.166666667x + x2 = 0 + -2.5
-2.166666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.166666667x + x2 = -2.5

The x term is -2.166666667x.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667x + 1.173611113 + x2 = -2.5 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667x + x2 = -2.5 + 1.173611113

Combine like terms: -2.5 + 1.173611113 = -1.326388887
1.173611113 + -2.166666667x + x2 = -1.326388887

Factor a perfect square on the left side:
(x + -1.083333334)(x + -1.083333334) = -1.326388887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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