7*(x-4)=5x(x-2)

Solution for 7*(x-4)=5x(x-2) equation:

Simplifying
7(x + -4) = 5x(x + -2)

Reorder the terms:
7(-4 + x) = 5x(x + -2)
(-4 * 7 + x * 7) = 5x(x + -2)
(-28 + 7x) = 5x(x + -2)

Reorder the terms:
-28 + 7x = 5x(-2 + x)
-28 + 7x = (-2 * 5x + x * 5x)
-28 + 7x = (-10x + 5x2)

Solving
-28 + 7x = -10x + 5x2

Solving for variable 'x'.

Combine like terms: 7x + 10x = 17x
-28 + 17x + -5x2 = -10x + 5x2 + 10x + -5x2

Reorder the terms:
-28 + 17x + -5x2 = -10x + 10x + 5x2 + -5x2

Combine like terms: -10x + 10x = 0
-28 + 17x + -5x2 = 0 + 5x2 + -5x2
-28 + 17x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-28 + 17x + -5x2 = 0

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

Divide each side by '-5'.
5.6 + -3.4x + x2 = 0

Move the constant term to the right:

Add '-5.6' to each side of the equation.
5.6 + -3.4x + -5.6 + x2 = 0 + -5.6

Reorder the terms:
5.6 + -5.6 + -3.4x + x2 = 0 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + -3.4x + x2 = 0 + -5.6
-3.4x + x2 = 0 + -5.6

Combine like terms: 0 + -5.6 = -5.6
-3.4x + x2 = -5.6

The x term is -3.4x.  Take half its coefficient (-1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
-3.4x + 2.89 + x2 = -5.6 + 2.89

Reorder the terms:
2.89 + -3.4x + x2 = -5.6 + 2.89

Combine like terms: -5.6 + 2.89 = -2.71
2.89 + -3.4x + x2 = -2.71

Factor a perfect square on the left side:
(x + -1.7)(x + -1.7) = -2.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.