5(-3x+1)=-14x(x+1)

Solution for 5(-3x+1)=-14x(x+1) equation:

Simplifying
5(-3x + 1) = -14x(x + 1)

Reorder the terms:
5(1 + -3x) = -14x(x + 1)
(1 * 5 + -3x * 5) = -14x(x + 1)
(5 + -15x) = -14x(x + 1)

Reorder the terms:
5 + -15x = -14x(1 + x)
5 + -15x = (1 * -14x + x * -14x)
5 + -15x = (-14x + -14x2)

Solving
5 + -15x = -14x + -14x2

Solving for variable 'x'.

Combine like terms: -15x + 14x = -1x
5 + -1x + 14x2 = -14x + -14x2 + 14x + 14x2

Reorder the terms:
5 + -1x + 14x2 = -14x + 14x + -14x2 + 14x2

Combine like terms: -14x + 14x = 0
5 + -1x + 14x2 = 0 + -14x2 + 14x2
5 + -1x + 14x2 = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
5 + -1x + 14x2 = 0

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

Divide each side by '14'.
0.3571428571 + -0.07142857143x + x2 = 0

Move the constant term to the right:

Add '-0.3571428571' to each side of the equation.
0.3571428571 + -0.07142857143x + -0.3571428571 + x2 = 0 + -0.3571428571

Reorder the terms:
0.3571428571 + -0.3571428571 + -0.07142857143x + x2 = 0 + -0.3571428571

Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000
0.0000000000 + -0.07142857143x + x2 = 0 + -0.3571428571
-0.07142857143x + x2 = 0 + -0.3571428571

Combine like terms: 0 + -0.3571428571 = -0.3571428571
-0.07142857143x + x2 = -0.3571428571

The x term is -0.07142857143x.  Take half its coefficient (-0.03571428572).
Square it (0.001275510204) and add it to both sides.

Add '0.001275510204' to each side of the equation.
-0.07142857143x + 0.001275510204 + x2 = -0.3571428571 + 0.001275510204

Reorder the terms:
0.001275510204 + -0.07142857143x + x2 = -0.3571428571 + 0.001275510204

Combine like terms: -0.3571428571 + 0.001275510204 = -0.355867346896
0.001275510204 + -0.07142857143x + x2 = -0.355867346896

Factor a perfect square on the left side:
(x + -0.03571428572)(x + -0.03571428572) = -0.355867346896

Can't calculate square root of the right side.

The solution to this equation could not be determined.