Solve for A (complex solution)
\left\{\begin{matrix}\\A=3x\text{, }&\text{unconditionally}\\A\in \mathrm{C}\text{, }&x=-\frac{1}{2}\end{matrix}\right.
Solve for A
\left\{\begin{matrix}\\A=3x\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&x=-\frac{1}{2}\end{matrix}\right.
Solve for x
x=\frac{A}{3}
x = -\frac{1}{2} = -0.5
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2Ax+A=6x^{2}+3x
Use the distributive property to multiply A by 2x+1.
\left(2x+1\right)A=6x^{2}+3x
Combine all terms containing A.
\frac{\left(2x+1\right)A}{2x+1}=\frac{3x\left(2x+1\right)}{2x+1}
Divide both sides by 1+2x.
A=\frac{3x\left(2x+1\right)}{2x+1}
Dividing by 1+2x undoes the multiplication by 1+2x.
A=3x
Divide 3x\left(1+2x\right) by 1+2x.
2Ax+A=6x^{2}+3x
Use the distributive property to multiply A by 2x+1.
\left(2x+1\right)A=6x^{2}+3x
Combine all terms containing A.
\frac{\left(2x+1\right)A}{2x+1}=\frac{3x\left(2x+1\right)}{2x+1}
Divide both sides by 1+2x.
A=\frac{3x\left(2x+1\right)}{2x+1}
Dividing by 1+2x undoes the multiplication by 1+2x.
A=3x
Divide 3x\left(1+2x\right) by 1+2x.
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Limits
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