(2x-1)2-14=(x+3)(x-3)

Solution for (2x-1)2-14=(x+3)(x-3) equation:

Simplifying
(2x + -1) * 2 + -14 = (x + 3)(x + -3)

Reorder the terms:
(-1 + 2x) * 2 + -14 = (x + 3)(x + -3)

Reorder the terms for easier multiplication:
2(-1 + 2x) + -14 = (x + 3)(x + -3)
(-1 * 2 + 2x * 2) + -14 = (x + 3)(x + -3)
(-2 + 4x) + -14 = (x + 3)(x + -3)

Reorder the terms:
-2 + -14 + 4x = (x + 3)(x + -3)

Combine like terms: -2 + -14 = -16
-16 + 4x = (x + 3)(x + -3)

Reorder the terms:
-16 + 4x = (3 + x)(x + -3)

Reorder the terms:
-16 + 4x = (3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
-16 + 4x = (3(-3 + x) + x(-3 + x))
-16 + 4x = ((-3 * 3 + x * 3) + x(-3 + x))
-16 + 4x = ((-9 + 3x) + x(-3 + x))
-16 + 4x = (-9 + 3x + (-3 * x + x * x))
-16 + 4x = (-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
-16 + 4x = (-9 + 0 + x2)
-16 + 4x = (-9 + x2)

Solving
-16 + 4x = -9 + x2

Solving for variable 'x'.

Reorder the terms:
-16 + 9 + 4x + -1x2 = -9 + x2 + 9 + -1x2

Combine like terms: -16 + 9 = -7
-7 + 4x + -1x2 = -9 + x2 + 9 + -1x2

Reorder the terms:
-7 + 4x + -1x2 = -9 + 9 + x2 + -1x2

Combine like terms: -9 + 9 = 0
-7 + 4x + -1x2 = 0 + x2 + -1x2
-7 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 4x + -1x2 = 0

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

Divide each side by '-1'.
7 + -4x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -4x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -4x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x + x2 = 0 + -7
-4x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4x + x2 = -7

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -7 + 4

Reorder the terms:
4 + -4x + x2 = -7 + 4

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

Factor a perfect square on the left side:
(x + -2)(x + -2) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.