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.
