5x-17=(x+3)(x-3)

Solution for 5x-17=(x+3)(x-3) equation:

Simplifying
5x + -17 = (x + 3)(x + -3)

Reorder the terms:
-17 + 5x = (x + 3)(x + -3)

Reorder the terms:
-17 + 5x = (3 + x)(x + -3)

Reorder the terms:
-17 + 5x = (3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
-17 + 5x = (3(-3 + x) + x(-3 + x))
-17 + 5x = ((-3 * 3 + x * 3) + x(-3 + x))
-17 + 5x = ((-9 + 3x) + x(-3 + x))
-17 + 5x = (-9 + 3x + (-3 * x + x * x))
-17 + 5x = (-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
-17 + 5x = (-9 + 0 + x2)
-17 + 5x = (-9 + x2)

Solving
-17 + 5x = -9 + x2

Solving for variable 'x'.

Reorder the terms:
-17 + 9 + 5x + -1x2 = -9 + x2 + 9 + -1x2

Combine like terms: -17 + 9 = -8
-8 + 5x + -1x2 = -9 + x2 + 9 + -1x2

Reorder the terms:
-8 + 5x + -1x2 = -9 + 9 + x2 + -1x2

Combine like terms: -9 + 9 = 0
-8 + 5x + -1x2 = 0 + x2 + -1x2
-8 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 5x + -1x2 = 0

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

Divide each side by '-1'.
8 + -5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x + x2 = 0 + -8
-5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5x + x2 = -8

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 = -8 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + -5x + x2 = -1.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.