x(5-7x)-4x=9

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Solution for x(5-7x)-4x=9 equation:


Simplifying
x(5 + -7x) + -4x = 9
(5 * x + -7x * x) + -4x = 9
(5x + -7x2) + -4x = 9

Reorder the terms:
5x + -4x + -7x2 = 9

Combine like terms: 5x + -4x = 1x
1x + -7x2 = 9

Solving
1x + -7x2 = 9

Solving for variable 'x'.

Reorder the terms:
-9 + 1x + -7x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 1x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.285714286 + -0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -0.1428571429x + -1.285714286 + x2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -0.1428571429x + x2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -0.1428571429x + x2 = 0 + -1.285714286
-0.1428571429x + x2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-0.1428571429x + x2 = -1.285714286

The x term is -0.1428571429x.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429x + 0.005102040819 + x2 = -1.285714286 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429x + x2 = -1.285714286 + 0.005102040819

Combine like terms: -1.285714286 + 0.005102040819 = -1.280612245181
0.005102040819 + -0.1428571429x + x2 = -1.280612245181

Factor a perfect square on the left side:
(x + -0.07142857145)(x + -0.07142857145) = -1.280612245181

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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