3x(2-x)-5(6-2x)=0

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Solution for 3x(2-x)-5(6-2x)=0 equation:


Simplifying
3x(2 + -1x) + -5(6 + -2x) = 0
(2 * 3x + -1x * 3x) + -5(6 + -2x) = 0
(6x + -3x2) + -5(6 + -2x) = 0
6x + -3x2 + (6 * -5 + -2x * -5) = 0
6x + -3x2 + (-30 + 10x) = 0

Reorder the terms:
-30 + 6x + 10x + -3x2 = 0

Combine like terms: 6x + 10x = 16x
-30 + 16x + -3x2 = 0

Solving
-30 + 16x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
10 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -5.333333333x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -5.333333333x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5.333333333x + x2 = 0 + -10
-5.333333333x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-5.333333333x + x2 = -10

The x term is -5.333333333x.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333x + 7.111111113 + x2 = -10 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -10 + 7.111111113

Combine like terms: -10 + 7.111111113 = -2.888888887
7.111111113 + -5.333333333x + x2 = -2.888888887

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -2.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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