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\[{x}^{2}-16x=-63\]
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x^2-16x=-63
x 2 -16x=-63
{x}^{2}-16x=-63
1
Move all terms to one side.
x
2
−
16
x
+
63
=
0
{x}^{2}-16x+63=0
x
2
−
1
6
x
+
6
3
=
0
2
Factor
x
2
−
16
x
+
63
{x}^{2}-16x+63
x
2
−
1
6
x
+
6
3
.
1
Ask: Which two numbers add up to
−
16
-16
−
1
6
and multiply to
63
63
6
3
?
−
9
-9
−
9
and
−
7
-7
−
7
2
Rewrite the expression using the above.
(
x
−
9
)
(
x
−
7
)
(x-9)(x-7)
(
x
−
9
)
(
x
−
7
)
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!
(
x
−
9
)
(
x
−
7
)
=
0
(x-9)(x-7)=0
(
x
−
9
)
(
x
−
7
)
=
0
3
Solve for
x
x
x
.
1
Ask: When will
(
x
−
9
)
(
x
−
7
)
(x-9)(x-7)
(
x
−
9
)
(
x
−
7
)
equal zero?
When
x
−
9
=
0
x-9=0
x
−
9
=
0
or
x
−
7
=
0
x-7=0
x
−
7
=
0
2
Solve each of the 2 equations above.
x
=
9
,
7
x=9,7
x
=
9
,
7
To get access to all 'How?' and 'Why?' steps, join
Cymath Plus
!
x
=
9
,
7
x=9,7
x
=
9
,
7
Done
x=9,7
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