x-34=(x+2)(x-5)

Solution for x-34=(x+2)(x-5) equation:

Simplifying
x + -34 = (x + 2)(x + -5)

Reorder the terms:
-34 + x = (x + 2)(x + -5)

Reorder the terms:
-34 + x = (2 + x)(x + -5)

Reorder the terms:
-34 + x = (2 + x)(-5 + x)

Multiply (2 + x) * (-5 + x)
-34 + x = (2(-5 + x) + x(-5 + x))
-34 + x = ((-5 * 2 + x * 2) + x(-5 + x))
-34 + x = ((-10 + 2x) + x(-5 + x))
-34 + x = (-10 + 2x + (-5 * x + x * x))
-34 + x = (-10 + 2x + (-5x + x2))

Combine like terms: 2x + -5x = -3x
-34 + x = (-10 + -3x + x2)

Solving
-34 + x = -10 + -3x + x2

Solving for variable 'x'.

Reorder the terms:
-34 + 10 + x + 3x + -1x2 = -10 + -3x + x2 + 10 + 3x + -1x2

Combine like terms: -34 + 10 = -24
-24 + x + 3x + -1x2 = -10 + -3x + x2 + 10 + 3x + -1x2

Combine like terms: x + 3x = 4x
-24 + 4x + -1x2 = -10 + -3x + x2 + 10 + 3x + -1x2

Reorder the terms:
-24 + 4x + -1x2 = -10 + 10 + -3x + 3x + x2 + -1x2

Combine like terms: -10 + 10 = 0
-24 + 4x + -1x2 = 0 + -3x + 3x + x2 + -1x2
-24 + 4x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-24 + 4x + -1x2 = 0 + x2 + -1x2
-24 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 4x + -1x2 = 0

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

Divide each side by '-1'.
24 + -4x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -4x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -4x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -4x + x2 = 0 + -24
-4x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-4x + x2 = -24

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 = -24 + 4

Reorder the terms:
4 + -4x + x2 = -24 + 4

Combine like terms: -24 + 4 = -20
4 + -4x + x2 = -20

Factor a perfect square on the left side:
(x + -2)(x + -2) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.