x(x+2)=2(x+24.5)

Solution for x(x+2)=2(x+24.5) equation:

Simplifying
x(x + 2) = 2(x + 24.5)

Reorder the terms:
x(2 + x) = 2(x + 24.5)
(2 * x + x * x) = 2(x + 24.5)
(2x + x2) = 2(x + 24.5)

Reorder the terms:
2x + x2 = 2(24.5 + x)
2x + x2 = (24.5 * 2 + x * 2)
2x + x2 = (49 + 2x)

Add '-2x' to each side of the equation.
2x + -2x + x2 = 49 + 2x + -2x

Combine like terms: 2x + -2x = 0
0 + x2 = 49 + 2x + -2x
x2 = 49 + 2x + -2x

Combine like terms: 2x + -2x = 0
x2 = 49 + 0
x2 = 49

Solving
x2 = 49

Solving for variable 'x'.

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

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}