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Let’s check out your problem:
2
x
−
2
x
(
x
2
144
)
=
0
2 x-2 x\left(\frac{x^{2}}{144}\right)=0
2
x
−
2
x
(
144
x
2
)
=
0
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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
Full solution
Q.
2
x
−
2
x
(
x
2
144
)
=
0
2 x-2 x\left(\frac{x^{2}}{144}\right)=0
2
x
−
2
x
(
144
x
2
)
=
0
Distribute and Simplify:
Simplify the equation by distributing
2
x
2x
2
x
across the terms.
2
x
−
2
x
×
(
x
2
144
)
=
0
2x - 2x \times \left(\frac{x^2}{144}\right) = 0
2
x
−
2
x
×
(
144
x
2
)
=
0
=
2
x
−
(
2
x
3
144
)
= 2x - \left(\frac{2x^3}{144}\right)
=
2
x
−
(
144
2
x
3
)
Simplify Fraction:
Simplify the fraction in the term.
\newline
2
x
−
2
x
3
144
2x - \frac{2x^3}{144}
2
x
−
144
2
x
3
\newline
=
2
x
−
x
3
72
2x - \frac{x^3}{72}
2
x
−
72
x
3
Factor Out Common Term:
Factor out the common term, which is
x
x
x
.
x
(
2
−
(
x
2
72
)
)
=
0
x(2 - (\frac{x^2}{72})) = 0
x
(
2
−
(
72
x
2
))
=
0
Set Equal and Solve:
Set each factor equal to zero and solve for
x
x
x
.
x
=
0
x = 0
x
=
0
or
2
−
x
2
72
=
0
2 - \frac{x^2}{72} = 0
2
−
72
x
2
=
0
Second Equation Solution:
Solve the second equation for
x
x
x
.
2
−
x
2
72
=
0
2 - \frac{x^2}{72} = 0
2
−
72
x
2
=
0
x
2
72
=
2
\frac{x^2}{72} = 2
72
x
2
=
2
x
2
=
144
x^2 = 144
x
2
=
144
x
=
±
12
x = \pm12
x
=
±
12
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