7x(3x+5)-11x-6=-16

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Solution for 7x(3x+5)-11x-6=-16 equation:


Simplifying
7x(3x + 5) + -11x + -6 = -16

Reorder the terms:
7x(5 + 3x) + -11x + -6 = -16
(5 * 7x + 3x * 7x) + -11x + -6 = -16
(35x + 21x2) + -11x + -6 = -16

Reorder the terms:
-6 + 35x + -11x + 21x2 = -16

Combine like terms: 35x + -11x = 24x
-6 + 24x + 21x2 = -16

Solving
-6 + 24x + 21x2 = -16

Solving for variable 'x'.

Reorder the terms:
-6 + 16 + 24x + 21x2 = -16 + 16

Combine like terms: -6 + 16 = 10
10 + 24x + 21x2 = -16 + 16

Combine like terms: -16 + 16 = 0
10 + 24x + 21x2 = 0

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

Divide each side by '21'.
0.4761904762 + 1.142857143x + x2 = 0

Move the constant term to the right:

Add '-0.4761904762' to each side of the equation.
0.4761904762 + 1.142857143x + -0.4761904762 + x2 = 0 + -0.4761904762

Reorder the terms:
0.4761904762 + -0.4761904762 + 1.142857143x + x2 = 0 + -0.4761904762

Combine like terms: 0.4761904762 + -0.4761904762 = 0.0000000000
0.0000000000 + 1.142857143x + x2 = 0 + -0.4761904762
1.142857143x + x2 = 0 + -0.4761904762

Combine like terms: 0 + -0.4761904762 = -0.4761904762
1.142857143x + x2 = -0.4761904762

The x term is 1.142857143x.  Take half its coefficient (0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
1.142857143x + 0.3265306123 + x2 = -0.4761904762 + 0.3265306123

Reorder the terms:
0.3265306123 + 1.142857143x + x2 = -0.4761904762 + 0.3265306123

Combine like terms: -0.4761904762 + 0.3265306123 = -0.1496598639
0.3265306123 + 1.142857143x + x2 = -0.1496598639

Factor a perfect square on the left side:
(x + 0.5714285715)(x + 0.5714285715) = -0.1496598639

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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