(x+6)(x+6)=x(x+13)

Solution for (x+6)(x+6)=x(x+13) equation:

Simplifying
(x + 6)(x + 6) = x(x + 13)

Reorder the terms:
(6 + x)(x + 6) = x(x + 13)

Reorder the terms:
(6 + x)(6 + x) = x(x + 13)

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = x(x + 13)
((6 * 6 + x * 6) + x(6 + x)) = x(x + 13)
((36 + 6x) + x(6 + x)) = x(x + 13)
(36 + 6x + (6 * x + x * x)) = x(x + 13)
(36 + 6x + (6x + x2)) = x(x + 13)

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = x(x + 13)

Reorder the terms:
36 + 12x + x2 = x(13 + x)
36 + 12x + x2 = (13 * x + x * x)
36 + 12x + x2 = (13x + x2)

Add '-1x2' to each side of the equation.
36 + 12x + x2 + -1x2 = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 12x + 0 = 13x + x2 + -1x2
36 + 12x = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 12x = 13x + 0
36 + 12x = 13x

Solving
36 + 12x = 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
36 + 12x + -13x = 13x + -13x

Combine like terms: 12x + -13x = -1x
36 + -1x = 13x + -13x

Combine like terms: 13x + -13x = 0
36 + -1x = 0

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36