(2x^2)+(5x)+20=(x-4)(x+2)

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Solution for (2x^2)+(5x)+20=(x-4)(x+2) equation: 


Simplifying
(2x2) + (5x) + 20 = (x + -4)(x + 2)

Reorder the terms:
20 + (5x) + (2x2) = (x + -4)(x + 2)

Reorder the terms:
20 + (5x) + (2x2) = (-4 + x)(x + 2)

Reorder the terms:
20 + (5x) + (2x2) = (-4 + x)(2 + x)

Multiply (-4 + x) * (2 + x)
20 + (5x) + (2x2) = (-4(2 + x) + x(2 + x))
20 + (5x) + (2x2) = ((2 * -4 + x * -4) + x(2 + x))
20 + (5x) + (2x2) = ((-8 + -4x) + x(2 + x))
20 + (5x) + (2x2) = (-8 + -4x + (2 * x + x * x))
20 + (5x) + (2x2) = (-8 + -4x + (2x + x2))

Combine like terms: -4x + 2x = -2x
20 + (5x) + (2x2) = (-8 + -2x + x2)

Solving
20 + (5x) + (2x2) = -8 + -2x + x2

Solving for variable 'x'.

Reorder the terms:
20 + 8 + (5x) + 2x + (2x2) + -1x2 = -8 + -2x + x2 + 8 + 2x + -1x2

Combine like terms: 20 + 8 = 28
28 + (5x) + 2x + (2x2) + -1x2 = -8 + -2x + x2 + 8 + 2x + -1x2

Combine like terms: (5x) + 2x = 7x
28 + 7x + (2x2) + -1x2 = -8 + -2x + x2 + 8 + 2x + -1x2

Combine like terms: (2x2) + -1x2 = 1x2
28 + 7x + 1x2 = -8 + -2x + x2 + 8 + 2x + -1x2

Reorder the terms:
28 + 7x + 1x2 = -8 + 8 + -2x + 2x + x2 + -1x2

Combine like terms: -8 + 8 = 0
28 + 7x + 1x2 = 0 + -2x + 2x + x2 + -1x2
28 + 7x + 1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
28 + 7x + 1x2 = 0 + x2 + -1x2
28 + 7x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 7x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + 7x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + 7x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 7x + x2 = 0 + -28
7x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
7x + x2 = -28

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -28 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -28 + 12.25

Combine like terms: -28 + 12.25 = -15.75
12.25 + 7x + x2 = -15.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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