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

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

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

Reorder the terms:
5(-5 + x) + 5 = (x + 2)(x + -2)
(-5 * 5 + x * 5) + 5 = (x + 2)(x + -2)
(-25 + 5x) + 5 = (x + 2)(x + -2)

Reorder the terms:
-25 + 5 + 5x = (x + 2)(x + -2)

Combine like terms: -25 + 5 = -20
-20 + 5x = (x + 2)(x + -2)

Reorder the terms:
-20 + 5x = (2 + x)(x + -2)

Reorder the terms:
-20 + 5x = (2 + x)(-2 + x)

Multiply (2 + x) * (-2 + x)
-20 + 5x = (2(-2 + x) + x(-2 + x))
-20 + 5x = ((-2 * 2 + x * 2) + x(-2 + x))
-20 + 5x = ((-4 + 2x) + x(-2 + x))
-20 + 5x = (-4 + 2x + (-2 * x + x * x))
-20 + 5x = (-4 + 2x + (-2x + x2))

Combine like terms: 2x + -2x = 0
-20 + 5x = (-4 + 0 + x2)
-20 + 5x = (-4 + x2)

Solving
-20 + 5x = -4 + x2

Solving for variable 'x'.

Reorder the terms:
-20 + 4 + 5x + -1x2 = -4 + x2 + 4 + -1x2

Combine like terms: -20 + 4 = -16
-16 + 5x + -1x2 = -4 + x2 + 4 + -1x2

Reorder the terms:
-16 + 5x + -1x2 = -4 + 4 + x2 + -1x2

Combine like terms: -4 + 4 = 0
-16 + 5x + -1x2 = 0 + x2 + -1x2
-16 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
16 + -5x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -5x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -5x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5x + x2 = 0 + -16
-5x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-5x + x2 = -16

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -16 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -16 + 6.25

Combine like terms: -16 + 6.25 = -9.75
6.25 + -5x + x2 = -9.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.