Solve for x
x=\frac{x_{Δ}^{2}+35}{12}
Solve for x_Δ (complex solution)
x_{Δ}=-\sqrt{12x-35}
x_{Δ}=\sqrt{12x-35}
Solve for x_Δ
x_{Δ}=\sqrt{12x-35}
x_{Δ}=-\sqrt{12x-35}\text{, }x\geq \frac{35}{12}
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12x-35=x_{Δ}^{2}
Add x_{Δ}^{2} to both sides. Anything plus zero gives itself.
12x=x_{Δ}^{2}+35
Add 35 to both sides.
\frac{12x}{12}=\frac{x_{Δ}^{2}+35}{12}
Divide both sides by 12.
x=\frac{x_{Δ}^{2}+35}{12}
Dividing by 12 undoes the multiplication by 12.
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