14=-4x(3x+3)+13x

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Solution for 14=-4x(3x+3)+13x equation: 


Simplifying
14 = -4x(3x + 3) + 13x

Reorder the terms:
14 = -4x(3 + 3x) + 13x
14 = (3 * -4x + 3x * -4x) + 13x
14 = (-12x + -12x2) + 13x

Reorder the terms:
14 = -12x + 13x + -12x2

Combine like terms: -12x + 13x = 1x
14 = 1x + -12x2

Solving
14 = 1x + -12x2

Solving for variable 'x'.

Reorder the terms:
14 + -1x + 12x2 = 1x + -1x + -12x2 + 12x2

Combine like terms: 1x + -1x = 0
14 + -1x + 12x2 = 0 + -12x2 + 12x2
14 + -1x + 12x2 = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
14 + -1x + 12x2 = 0

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

Divide each side by '12'.
1.166666667 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -0.08333333333x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -0.08333333333x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -0.08333333333x + x2 = 0 + -1.166666667
-0.08333333333x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-0.08333333333x + x2 = -1.166666667

The x term is -0.08333333333x.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333x + 0.001736111111 + x2 = -1.166666667 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -1.166666667 + 0.001736111111

Combine like terms: -1.166666667 + 0.001736111111 = -1.164930555889
0.001736111111 + -0.08333333333x + x2 = -1.164930555889

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -1.164930555889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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