5*24=2x*5x

Solution for 5*24=2x*5x equation:

Simplifying
5 * 24 = 2x * 5x

Multiply 5 * 24
120 = 2x * 5x

Reorder the terms for easier multiplication:
120 = 2 * 5x * x

Multiply 2 * 5
120 = 10x * x

Multiply x * x
120 = 10x2

Solving
120 = 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
120 + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
120 + -10x2 = 0

Add '-120' to each side of the equation.
120 + -120 + -10x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -10x2 = 0 + -120
-10x2 = 0 + -120

Combine like terms: 0 + -120 = -120
-10x2 = -120

Divide each side by '-10'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}