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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
8
x
+
33
−
18
=
−
17
\sqrt{8 x+33}-18=-17
8
x
+
33
−
18
=
−
17
\newline
Answer:
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
8
x
+
33
−
18
=
−
17
\sqrt{8 x+33}-18=-17
8
x
+
33
−
18
=
−
17
\newline
Answer:
Add
18
18
18
:
Add
18
18
18
to both sides of the equation to isolate the
square root
on one side.
\newline
8
x
+
33
−
18
+
18
=
−
17
+
18
\sqrt{8x + 33} - 18 + 18 = -17 + 18
8
x
+
33
−
18
+
18
=
−
17
+
18
\newline
8
x
+
33
=
1
\sqrt{8x + 33} = 1
8
x
+
33
=
1
Square both sides:
Square both sides of the equation to eliminate the square root.
\newline
(
8
x
+
33
)
2
=
1
2
(\sqrt{8x + 33})^2 = 1^2
(
8
x
+
33
)
2
=
1
2
\newline
8
x
+
33
=
1
8x + 33 = 1
8
x
+
33
=
1
Subtract
33
33
33
:
Subtract
33
33
33
from both sides of the equation to isolate the term with the variable
x
x
x
.
\newline
8
x
+
33
−
33
=
1
−
33
8x + 33 - 33 = 1 - 33
8
x
+
33
−
33
=
1
−
33
\newline
8
x
=
−
32
8x = -32
8
x
=
−
32
Divide by
8
8
8
:
Divide both sides of the equation by
8
8
8
to solve for
x
x
x
.
8
x
8
=
−
32
8
\frac{8x}{8} = \frac{-32}{8}
8
8
x
=
8
−
32
x
=
−
4
x = -4
x
=
−
4
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