55(120+55)=x(x)

Solution for 55(120+55)=x(x) equation:

Simplifying
55(120 + 55) = x(x)

Combine like terms: 120 + 55 = 175
55(175) = x(x)

Multiply 55 * 175
9625 = x(x)

Multiply x * x
9625 = x2

Solving
9625 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
9625 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9625 + -1x2 = 0

Add '-9625' to each side of the equation.
9625 + -9625 + -1x2 = 0 + -9625

Combine like terms: 9625 + -9625 = 0
0 + -1x2 = 0 + -9625
-1x2 = 0 + -9625

Combine like terms: 0 + -9625 = -9625
-1x2 = -9625

Divide each side by '-1'.
x2 = 9625

Simplifying
x2 = 9625

Take the square root of each side:
x = {-98.107084352, 98.107084352}