7x(6x+2)=9x-50

Solution for 7x(6x+2)=9x-50 equation:

Simplifying
7x(6x + 2) = 9x + -50

Reorder the terms:
7x(2 + 6x) = 9x + -50
(2 * 7x + 6x * 7x) = 9x + -50
(14x + 42x2) = 9x + -50

Reorder the terms:
14x + 42x2 = -50 + 9x

Solving
14x + 42x2 = -50 + 9x

Solving for variable 'x'.

Reorder the terms:
50 + 14x + -9x + 42x2 = -50 + 9x + 50 + -9x

Combine like terms: 14x + -9x = 5x
50 + 5x + 42x2 = -50 + 9x + 50 + -9x

Reorder the terms:
50 + 5x + 42x2 = -50 + 50 + 9x + -9x

Combine like terms: -50 + 50 = 0
50 + 5x + 42x2 = 0 + 9x + -9x
50 + 5x + 42x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
50 + 5x + 42x2 = 0

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

Divide each side by '42'.
1.19047619 + 0.119047619x + x2 = 0

Move the constant term to the right:

Add '-1.19047619' to each side of the equation.
1.19047619 + 0.119047619x + -1.19047619 + x2 = 0 + -1.19047619

Reorder the terms:
1.19047619 + -1.19047619 + 0.119047619x + x2 = 0 + -1.19047619

Combine like terms: 1.19047619 + -1.19047619 = 0.00000000
0.00000000 + 0.119047619x + x2 = 0 + -1.19047619
0.119047619x + x2 = 0 + -1.19047619

Combine like terms: 0 + -1.19047619 = -1.19047619
0.119047619x + x2 = -1.19047619

The x term is 0.119047619x.  Take half its coefficient (0.0595238095).
Square it (0.003543083897) and add it to both sides.

Add '0.003543083897' to each side of the equation.
0.119047619x + 0.003543083897 + x2 = -1.19047619 + 0.003543083897

Reorder the terms:
0.003543083897 + 0.119047619x + x2 = -1.19047619 + 0.003543083897

Combine like terms: -1.19047619 + 0.003543083897 = -1.186933106103
0.003543083897 + 0.119047619x + x2 = -1.186933106103

Factor a perfect square on the left side:
(x + 0.0595238095)(x + 0.0595238095) = -1.186933106103

Can't calculate square root of the right side.

The solution to this equation could not be determined.