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Let’s check out your problem:
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
x
−
4
)
(
−
5
x
+
1
)
=
0
lesser
x
=
□
greater
x
=
□
\begin{array}{l} (x-4)(-5 x+1)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}
(
x
−
4
)
(
−
5
x
+
1
)
=
0
lesser
x
=
□
greater
x
=
□
View step-by-step help
Home
Math Problems
Algebra 2
Find the roots of factored polynomials
Full solution
Q.
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
x
−
4
)
(
−
5
x
+
1
)
=
0
lesser
x
=
□
greater
x
=
□
\begin{array}{l} (x-4)(-5 x+1)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}
(
x
−
4
)
(
−
5
x
+
1
)
=
0
lesser
x
=
□
greater
x
=
□
Factored Equation:
Factored equation:
(
x
−
4
)
(
−
5
x
+
1
)
=
0
(x-4)(-5x+1)=0
(
x
−
4
)
(
−
5
x
+
1
)
=
0
\newline
To find the roots, set each factor equal to zero and solve for
x
x
x
.
First Factor:
First factor:
x
−
4
=
0
x - 4 = 0
x
−
4
=
0
\newline
Solve for x:
\newline
x
−
4
+
4
=
0
+
4
x - 4 + 4 = 0 + 4
x
−
4
+
4
=
0
+
4
\newline
x
=
4
x = 4
x
=
4
Second Factor:
Second factor:
−
5
x
+
1
=
0
-5x + 1 = 0
−
5
x
+
1
=
0
Solve for
x
x
x
:
−
5
x
+
1
−
1
=
0
−
1
-5x + 1 - 1 = 0 - 1
−
5
x
+
1
−
1
=
0
−
1
−
5
x
=
−
1
-5x = -1
−
5
x
=
−
1
x
=
−
1
/
−
5
x = -1 / -5
x
=
−
1/
−
5
x
=
1
/
5
x = 1/5
x
=
1/5
or
0.2
0.2
0.2
Final Solutions:
Now we have two solutions for
x
x
x
:
4
4
4
and
0.2
0.2
0.2
. We need to enter the solutions from least to greatest.
0.2
0.2
0.2
is less than
4
4
4
.
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\newline
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\newline
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