Solve for p (complex solution)
\left\{\begin{matrix}\\p=4\text{, }&\text{unconditionally}\\p\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for p
\left\{\begin{matrix}\\p=4\text{, }&\text{unconditionally}\\p\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&p=4\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&p=4\end{matrix}\right.
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px^{3}-4x^{3}=0+0
Add 0 to both sides.
px^{3}-4x^{3}=0
Add 0 and 0 to get 0.
px^{3}=4x^{3}
Add 4x^{3} to both sides. Anything plus zero gives itself.
x^{3}p=4x^{3}
The equation is in standard form.
\frac{x^{3}p}{x^{3}}=\frac{4x^{3}}{x^{3}}
Divide both sides by x^{3}.
p=\frac{4x^{3}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
p=4
Divide 4x^{3} by x^{3}.
px^{3}-4x^{3}=0+0
Add 0 to both sides.
px^{3}-4x^{3}=0
Add 0 and 0 to get 0.
px^{3}=4x^{3}
Add 4x^{3} to both sides. Anything plus zero gives itself.
x^{3}p=4x^{3}
The equation is in standard form.
\frac{x^{3}p}{x^{3}}=\frac{4x^{3}}{x^{3}}
Divide both sides by x^{3}.
p=\frac{4x^{3}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
p=4
Divide 4x^{3} by x^{3}.
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