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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-1'.
24 + -3x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -3x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -3x + x2 = 0 + -24

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -24 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -24 + 2.25

Combine like terms: -24 + 2.25 = -21.75
2.25 + -3x + x2 = -21.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -21.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.