Simplify \(1+-\sqrt{1+4x}\) to \(1-\sqrt{1+4x}\).
\[6=\frac{1-\sqrt{1+4x}}{2}\]
Multiply both sides by \(2\).
\[6\times 2=1-\sqrt{1+4x}\]
Simplify \(6\times 2\) to \(12\).
\[12=1-\sqrt{1+4x}\]
Separate terms with roots from terms without roots.
\[12-1=-\sqrt{1+4x}\]
Simplify \(12-1\) to \(11\).
\[11=-\sqrt{1+4x}\]
Square both sides.
\[121=1+4x\]
Subtract \(1\) from both sides.
\[121-1=4x\]
Simplify \(121-1\) to \(120\).
\[120=4x\]
Divide both sides by \(4\).
\[\frac{120}{4}=x\]
Simplify \(\frac{120}{4}\) to \(30\).
\[30=x\]
Switch sides.
\[x=30\]
Check solution
When \(x=30\), the original equation \(6=\frac{1+-\sqrt{1+4x}}{2}\) does not hold true.We will drop \(x=30\) from the solution set.
Therefore,
[No Solution]
