x^2+18x=3(75+6x)

Solution for x^2+18x=3(75+6x) equation:

Simplifying
x2 + 18x = 3(75 + 6x)

Reorder the terms:
18x + x2 = 3(75 + 6x)
18x + x2 = (75 * 3 + 6x * 3)
18x + x2 = (225 + 18x)

Add '-18x' to each side of the equation.
18x + -18x + x2 = 225 + 18x + -18x

Combine like terms: 18x + -18x = 0
0 + x2 = 225 + 18x + -18x
x2 = 225 + 18x + -18x

Combine like terms: 18x + -18x = 0
x2 = 225 + 0
x2 = 225

Solving
x2 = 225

Solving for variable 'x'.

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

Simplifying
x2 = 225

Take the square root of each side:
x = {-15, 15}