(x+5)(x+6)=6x-20

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Solution for (x+5)(x+6)=6x-20 equation: 


Simplifying
(x + 5)(x + 6) = 6x + -20

Reorder the terms:
(5 + x)(x + 6) = 6x + -20

Reorder the terms:
(5 + x)(6 + x) = 6x + -20

Multiply (5 + x) * (6 + x)
(5(6 + x) + x(6 + x)) = 6x + -20
((6 * 5 + x * 5) + x(6 + x)) = 6x + -20
((30 + 5x) + x(6 + x)) = 6x + -20
(30 + 5x + (6 * x + x * x)) = 6x + -20
(30 + 5x + (6x + x2)) = 6x + -20

Combine like terms: 5x + 6x = 11x
(30 + 11x + x2) = 6x + -20

Reorder the terms:
30 + 11x + x2 = -20 + 6x

Solving
30 + 11x + x2 = -20 + 6x

Solving for variable 'x'.

Reorder the terms:
30 + 20 + 11x + -6x + x2 = -20 + 6x + 20 + -6x

Combine like terms: 30 + 20 = 50
50 + 11x + -6x + x2 = -20 + 6x + 20 + -6x

Combine like terms: 11x + -6x = 5x
50 + 5x + x2 = -20 + 6x + 20 + -6x

Reorder the terms:
50 + 5x + x2 = -20 + 20 + 6x + -6x

Combine like terms: -20 + 20 = 0
50 + 5x + x2 = 0 + 6x + -6x
50 + 5x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
50 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 5x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + 5x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 5x + x2 = 0 + -50
5x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
5x + x2 = -50

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 = -50 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -50 + 6.25

Combine like terms: -50 + 6.25 = -43.75
6.25 + 5x + x2 = -43.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -43.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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