Answer :

Answer:

Step-by-step explanation:

It seems like there might be a slight confusion in how the equation is written. If we interpret the equation as

×

5

×

150

=

180

x×5x×150=180, we can proceed to solve it step by step.

Combine like terms (x and 5x):

×

5

=

5

2

x×5x=5x

2

Rewrite the equation:

5

2

×

150

=

180

5x

2

×150=180

Divide both sides by 150:

5

2

=

180

150

5x

2

=

150

180

Simplify the fraction on the right-hand side:

5

2

=

180

150

=

18

15

=

6

5

5x

2

=

150

180

=

15

18

=

5

6

Divide both sides by 5:

2

=

6

5

×

5

=

6

25

x

2

=

5×5

6

=

25

6

Take the square root of both sides to solve for

x:

=

±

6

25

x=±

25

6

=

±

6

5

x=±

5

6

Therefore, the solutions for

x are

=

6

5

x=

5

6

 and

=

6

5

x=−

5

6

.

If the interpretation of the equation was incorrect, please clarify the equation further so I can provide the correct solution.