(x+5)(x+4)=3x-5

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Solution for (x+5)(x+4)=3x-5 equation: 


Simplifying
(x + 5)(x + 4) = 3x + -5

Reorder the terms:
(5 + x)(x + 4) = 3x + -5

Reorder the terms:
(5 + x)(4 + x) = 3x + -5

Multiply (5 + x) * (4 + x)
(5(4 + x) + x(4 + x)) = 3x + -5
((4 * 5 + x * 5) + x(4 + x)) = 3x + -5
((20 + 5x) + x(4 + x)) = 3x + -5
(20 + 5x + (4 * x + x * x)) = 3x + -5
(20 + 5x + (4x + x2)) = 3x + -5

Combine like terms: 5x + 4x = 9x
(20 + 9x + x2) = 3x + -5

Reorder the terms:
20 + 9x + x2 = -5 + 3x

Solving
20 + 9x + x2 = -5 + 3x

Solving for variable 'x'.

Reorder the terms:
20 + 5 + 9x + -3x + x2 = -5 + 3x + 5 + -3x

Combine like terms: 20 + 5 = 25
25 + 9x + -3x + x2 = -5 + 3x + 5 + -3x

Combine like terms: 9x + -3x = 6x
25 + 6x + x2 = -5 + 3x + 5 + -3x

Reorder the terms:
25 + 6x + x2 = -5 + 5 + 3x + -3x

Combine like terms: -5 + 5 = 0
25 + 6x + x2 = 0 + 3x + -3x
25 + 6x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
25 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 6x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + 6x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 6x + x2 = 0 + -25
6x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
6x + x2 = -25

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -25 + 9

Reorder the terms:
9 + 6x + x2 = -25 + 9

Combine like terms: -25 + 9 = -16
9 + 6x + x2 = -16

Factor a perfect square on the left side:
(x + 3)(x + 3) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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