Solve for y
y=\frac{3x^{2}+7}{4}
Solve for x (complex solution)
x=-\frac{\sqrt{12y-21}}{3}
x=\frac{\sqrt{12y-21}}{3}
Solve for x
x=\frac{\sqrt{12y-21}}{3}
x=-\frac{\sqrt{12y-21}}{3}\text{, }y\geq \frac{7}{4}
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6x^{2}+14=8y
Multiply both sides of the equation by 2.
8y=6x^{2}+14
Swap sides so that all variable terms are on the left hand side.
\frac{8y}{8}=\frac{6x^{2}+14}{8}
Divide both sides by 8.
y=\frac{6x^{2}+14}{8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{3x^{2}+7}{4}
Divide 6x^{2}+14 by 8.
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