5(3x^2-7x+11)-6x=

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Solution for 5(3x^2-7x+11)-6x= equation: 


Simplifying
5(3x2 + -7x + 11) + -6x = 0

Reorder the terms:
5(11 + -7x + 3x2) + -6x = 0
(11 * 5 + -7x * 5 + 3x2 * 5) + -6x = 0
(55 + -35x + 15x2) + -6x = 0

Reorder the terms:
55 + -35x + -6x + 15x2 = 0

Combine like terms: -35x + -6x = -41x
55 + -41x + 15x2 = 0

Solving
55 + -41x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
3.666666667 + -2.733333333x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -2.733333333x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -2.733333333x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -2.733333333x + x2 = 0 + -3.666666667
-2.733333333x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-2.733333333x + x2 = -3.666666667

The x term is -2.733333333x.  Take half its coefficient (-1.366666667).
Square it (1.867777779) and add it to both sides.

Add '1.867777779' to each side of the equation.
-2.733333333x + 1.867777779 + x2 = -3.666666667 + 1.867777779

Reorder the terms:
1.867777779 + -2.733333333x + x2 = -3.666666667 + 1.867777779

Combine like terms: -3.666666667 + 1.867777779 = -1.798888888
1.867777779 + -2.733333333x + x2 = -1.798888888

Factor a perfect square on the left side:
(x + -1.366666667)(x + -1.366666667) = -1.798888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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