2x(5x-1)=-3(x+4)

Solution for 2x(5x-1)=-3(x+4) equation:

Simplifying
2x(5x + -1) = -3(x + 4)

Reorder the terms:
2x(-1 + 5x) = -3(x + 4)
(-1 * 2x + 5x * 2x) = -3(x + 4)
(-2x + 10x2) = -3(x + 4)

Reorder the terms:
-2x + 10x2 = -3(4 + x)
-2x + 10x2 = (4 * -3 + x * -3)
-2x + 10x2 = (-12 + -3x)

Solving
-2x + 10x2 = -12 + -3x

Solving for variable 'x'.

Reorder the terms:
12 + -2x + 3x + 10x2 = -12 + -3x + 12 + 3x

Combine like terms: -2x + 3x = 1x
12 + 1x + 10x2 = -12 + -3x + 12 + 3x

Reorder the terms:
12 + 1x + 10x2 = -12 + 12 + -3x + 3x

Combine like terms: -12 + 12 = 0
12 + 1x + 10x2 = 0 + -3x + 3x
12 + 1x + 10x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 1x + 10x2 = 0

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

Divide each side by '10'.
1.2 + 0.1x + x2 = 0.0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 0.1x + -1.2 + x2 = 0.0 + -1.2

Reorder the terms:
1.2 + -1.2 + 0.1x + x2 = 0.0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.1x + x2 = 0.0 + -1.2
0.1x + x2 = 0.0 + -1.2

Combine like terms: 0.0 + -1.2 = -1.2
0.1x + x2 = -1.2

The x term is 0.1x.  Take half its coefficient (0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
0.1x + 0.0025 + x2 = -1.2 + 0.0025

Reorder the terms:
0.0025 + 0.1x + x2 = -1.2 + 0.0025

Combine like terms: -1.2 + 0.0025 = -1.1975
0.0025 + 0.1x + x2 = -1.1975

Factor a perfect square on the left side:
(x + 0.05)(x + 0.05) = -1.1975

Can't calculate square root of the right side.

The solution to this equation could not be determined.