(x+4)(x+9)=4x

Solution for (x+4)(x+9)=4x equation:

Simplifying
(x + 4)(x + 9) = 4x

Reorder the terms:
(4 + x)(x + 9) = 4x

Reorder the terms:
(4 + x)(9 + x) = 4x

Multiply (4 + x) * (9 + x)
(4(9 + x) + x(9 + x)) = 4x
((9 * 4 + x * 4) + x(9 + x)) = 4x
((36 + 4x) + x(9 + x)) = 4x
(36 + 4x + (9 * x + x * x)) = 4x
(36 + 4x + (9x + x2)) = 4x

Combine like terms: 4x + 9x = 13x
(36 + 13x + x2) = 4x

Solving
36 + 13x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
36 + 13x + -4x + x2 = 4x + -4x

Combine like terms: 13x + -4x = 9x
36 + 9x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 9x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + 9x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 9x + x2 = 0 + -36
9x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
9x + x2 = -36

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -36 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -36 + 20.25

Combine like terms: -36 + 20.25 = -15.75
20.25 + 9x + x2 = -15.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.