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\[{x}^{2}=4x+60\]
+
−
.
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<
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≥
≤
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)
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x
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x^2=4x+60
x^2=4x+60
{x}^{2}=4x+60
1
Move all terms to one side.
x
2
−
4
x
−
60
=
0
{x}^{2}-4x-60=0
x
2
−
4
x
−
6
0
=
0
2
Factor
x
2
−
4
x
−
60
{x}^{2}-4x-60
x
2
−
4
x
−
6
0
.
1
Ask: Which two numbers add up to
−
4
-4
−
4
and multiply to
−
60
-60
−
6
0
?
−
10
-10
−
1
0
and
6
6
6
2
Rewrite the expression using the above.
(
x
−
10
)
(
x
+
6
)
(x-10)(x+6)
(
x
−
1
0
)
(
x
+
6
)
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!
(
x
−
10
)
(
x
+
6
)
=
0
(x-10)(x+6)=0
(
x
−
1
0
)
(
x
+
6
)
=
0
3
Solve for
x
x
x
.
1
Ask: When will
(
x
−
10
)
(
x
+
6
)
(x-10)(x+6)
(
x
−
1
0
)
(
x
+
6
)
equal zero?
When
x
−
10
=
0
x-10=0
x
−
1
0
=
0
or
x
+
6
=
0
x+6=0
x
+
6
=
0
2
Solve each of the 2 equations above.
x
=
10
,
−
6
x=10,-6
x
=
1
0
,
−
6
To get access to all 'How?' and 'Why?' steps, join
Cymath Plus
!
x
=
10
,
−
6
x=10,-6
x
=
1
0
,
−
6
Done
x=10,-6
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