2x(x-2)=3(x-10)

Solution for 2x(x-2)=3(x-10) equation:

Simplifying
2x(x + -2) = 3(x + -10)

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

Reorder the terms:
-4x + 2x2 = 3(-10 + x)
-4x + 2x2 = (-10 * 3 + x * 3)
-4x + 2x2 = (-30 + 3x)

Solving
-4x + 2x2 = -30 + 3x

Solving for variable 'x'.

Reorder the terms:
30 + -4x + -3x + 2x2 = -30 + 3x + 30 + -3x

Combine like terms: -4x + -3x = -7x
30 + -7x + 2x2 = -30 + 3x + 30 + -3x

Reorder the terms:
30 + -7x + 2x2 = -30 + 30 + 3x + -3x

Combine like terms: -30 + 30 = 0
30 + -7x + 2x2 = 0 + 3x + -3x
30 + -7x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -7x + 2x2 = 0

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

Divide each side by '2'.
15 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -3.5x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -3.5x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3.5x + x2 = 0 + -15
-3.5x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-3.5x + x2 = -15

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -15 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -15 + 3.0625

Combine like terms: -15 + 3.0625 = -11.9375
3.0625 + -3.5x + x2 = -11.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -11.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.