Solve sqrt[4]{4}44x+1=1/64

$$\sqrt[ 4 ] { 4 } 44 x + 1 = \frac { 1 } { 64 }$$

Solve for x

$$x=-\frac{63\sqrt{2}}{5632}\approx -0.015819505$$

Steps for Solving Linear Equation

Rewrite \sqrt[4]{4} as \sqrt[4]{2^{2}}. Convert from radical to exponential form and cancel out 2 in the exponent. Convert back to radical form.

$$\sqrt[4]{4}=\sqrt[4]{2^{2}}=2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt{2}$$

Insert the obtained value back in the expression.

$$\sqrt{2}\times 44x+1=\frac{1}{64}$$

Subtract 1 from both sides.

$$\sqrt{2}\times 44x=\frac{1}{64}-1$$

Subtract 1 from \frac{1}{64} to get -\frac{63}{64}.

$$\sqrt{2}\times 44x=-\frac{63}{64}$$

The equation is in standard form.

$$44\sqrt{2}x=-\frac{63}{64}$$

Divide both sides by 44\sqrt{2}.

$$\frac{44\sqrt{2}x}{44\sqrt{2}}=-\frac{\frac{63}{64}}{44\sqrt{2}}$$

Dividing by 44\sqrt{2} undoes the multiplication by 44\sqrt{2}.

$$x=-\frac{\frac{63}{64}}{44\sqrt{2}}$$

Divide -\frac{63}{64} by 44\sqrt{2}.

$$x=-\frac{63\sqrt{2}}{5632}$$