x(2-5x)=12-6x-5x

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Solution for x(2-5x)=12-6x-5x equation: 


Simplifying
x(2 + -5x) = 12 + -6x + -5x
(2 * x + -5x * x) = 12 + -6x + -5x
(2x + -5x2) = 12 + -6x + -5x

Combine like terms: -6x + -5x = -11x
2x + -5x2 = 12 + -11x

Solving
2x + -5x2 = 12 + -11x

Solving for variable 'x'.

Reorder the terms:
-12 + 2x + 11x + -5x2 = 12 + -11x + -12 + 11x

Combine like terms: 2x + 11x = 13x
-12 + 13x + -5x2 = 12 + -11x + -12 + 11x

Reorder the terms:
-12 + 13x + -5x2 = 12 + -12 + -11x + 11x

Combine like terms: 12 + -12 = 0
-12 + 13x + -5x2 = 0 + -11x + 11x
-12 + 13x + -5x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-12 + 13x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
2.4 + -2.6x + x2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + -2.6x + -2.4 + x2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + -2.6x + x2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -2.6x + x2 = 0 + -2.4
-2.6x + x2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
-2.6x + x2 = -2.4

The x term is -2.6x.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6x + 1.69 + x2 = -2.4 + 1.69

Reorder the terms:
1.69 + -2.6x + x2 = -2.4 + 1.69

Combine like terms: -2.4 + 1.69 = -0.71
1.69 + -2.6x + x2 = -0.71

Factor a perfect square on the left side:
(x + -1.3)(x + -1.3) = -0.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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