Answer:
(
−
∞
,
∞
)
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Step-by-step explanation:
Simplify
5
(
5
x
−
5
)
.
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Apply the distributive property.
5
(
5
x
)
+
5
⋅
−
5
=
25
(
x
−
1
)
Multiply.
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25
x
−
25
=
25
(
x
−
1
)
Simplify
25
(
x
−
1
)
.
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Apply the distributive property.
25
x
−
25
=
25
x
+
25
⋅
−
1
Multiply
25
by
−
1
.
25
x
−
25
=
25
x
−
25
Move all terms containing
x
to the left side of the equation.
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Subtract
25
x
from both sides of the equation.
25
x
−
25
−
25
x
=
−
25
Combine the opposite terms in
25
x
−
25
−
25
x
.
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Subtract
25
x
from
25
x
.
0
−
25
=
−
25
Subtract
25
from
0
.
−
25
=
−
25
Since
−
25
=
−
25
, the equation will always be true for any value of
x
.
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(
−
∞
,
∞
)
