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

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

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

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

Reorder the terms:
-10x + 5x2 = 2 + -3(5 + x)
-10x + 5x2 = 2 + (5 * -3 + x * -3)
-10x + 5x2 = 2 + (-15 + -3x)

Combine like terms: 2 + -15 = -13
-10x + 5x2 = -13 + -3x

Solving
-10x + 5x2 = -13 + -3x

Solving for variable 'x'.

Reorder the terms:
13 + -10x + 3x + 5x2 = -13 + -3x + 13 + 3x

Combine like terms: -10x + 3x = -7x
13 + -7x + 5x2 = -13 + -3x + 13 + 3x

Reorder the terms:
13 + -7x + 5x2 = -13 + 13 + -3x + 3x

Combine like terms: -13 + 13 = 0
13 + -7x + 5x2 = 0 + -3x + 3x
13 + -7x + 5x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
13 + -7x + 5x2 = 0

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

Divide each side by '5'.
2.6 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-2.6' to each side of the equation.
2.6 + -1.4x + -2.6 + x2 = 0 + -2.6

Reorder the terms:
2.6 + -2.6 + -1.4x + x2 = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -1.4x + x2 = 0 + -2.6
-1.4x + x2 = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
-1.4x + x2 = -2.6

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -2.6 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -2.6 + 0.49

Combine like terms: -2.6 + 0.49 = -2.11
0.49 + -1.4x + x2 = -2.11

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -2.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.