Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{b}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for b (complex solution)
\left\{\begin{matrix}\\b=-ax\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{b}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}\\b=-ax\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
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ax^{3}=-bx^{2}
Subtract bx^{2} from both sides. Anything subtracted from zero gives its negation.
x^{3}a=-bx^{2}
The equation is in standard form.
\frac{x^{3}a}{x^{3}}=-\frac{bx^{2}}{x^{3}}
Divide both sides by x^{3}.
a=-\frac{bx^{2}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
a=-\frac{b}{x}
Divide -bx^{2} by x^{3}.
bx^{2}=-ax^{3}
Subtract ax^{3} from both sides. Anything subtracted from zero gives its negation.
x^{2}b=-ax^{3}
The equation is in standard form.
\frac{x^{2}b}{x^{2}}=-\frac{ax^{3}}{x^{2}}
Divide both sides by x^{2}.
b=-\frac{ax^{3}}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
b=-ax
Divide -ax^{3} by x^{2}.
ax^{3}=-bx^{2}
Subtract bx^{2} from both sides. Anything subtracted from zero gives its negation.
x^{3}a=-bx^{2}
The equation is in standard form.
\frac{x^{3}a}{x^{3}}=-\frac{bx^{2}}{x^{3}}
Divide both sides by x^{3}.
a=-\frac{bx^{2}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
a=-\frac{b}{x}
Divide -bx^{2} by x^{3}.
bx^{2}=-ax^{3}
Subtract ax^{3} from both sides. Anything subtracted from zero gives its negation.
x^{2}b=-ax^{3}
The equation is in standard form.
\frac{x^{2}b}{x^{2}}=-\frac{ax^{3}}{x^{2}}
Divide both sides by x^{2}.
b=-\frac{ax^{3}}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
b=-ax
Divide -ax^{3} by x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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