11x+x(x-4)=7(x+9)

Solution for 11x+x(x-4)=7(x+9) equation:

Simplifying
11x + x(x + -4) = 7(x + 9)

Reorder the terms:
11x + x(-4 + x) = 7(x + 9)
11x + (-4 * x + x * x) = 7(x + 9)
11x + (-4x + x2) = 7(x + 9)

Combine like terms: 11x + -4x = 7x
7x + x2 = 7(x + 9)

Reorder the terms:
7x + x2 = 7(9 + x)
7x + x2 = (9 * 7 + x * 7)
7x + x2 = (63 + 7x)

Add '-7x' to each side of the equation.
7x + -7x + x2 = 63 + 7x + -7x

Combine like terms: 7x + -7x = 0
0 + x2 = 63 + 7x + -7x
x2 = 63 + 7x + -7x

Combine like terms: 7x + -7x = 0
x2 = 63 + 0
x2 = 63

Solving
x2 = 63

Solving for variable 'x'.

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

Simplifying
x2 = 63

Take the square root of each side:
x = {-7.937253933, 7.937253933}