Solve 1/2(1/2)-4x=-1

$$\frac { 1 } { 2 } ( \frac { 1 } { 2 } ) - 4 x = - 1$$

Solve for x

$$x=\frac{5}{16}=0.3125$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 2}-4x=-1$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

$$\frac{1}{4}-4x=-1$$

Subtract \frac{1}{4} from both sides.

$$-4x=-1-\frac{1}{4}$$

Convert -1 to fraction -\frac{4}{4}.

$$-4x=-\frac{4}{4}-\frac{1}{4}$$

Since -\frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$-4x=\frac{-4-1}{4}$$

Subtract 1 from -4 to get -5.

$$-4x=-\frac{5}{4}$$

Divide both sides by -4.

$$x=\frac{-\frac{5}{4}}{-4}$$

Express \frac{-\frac{5}{4}}{-4} as a single fraction.

$$x=\frac{-5}{4\left(-4\right)}$$

Multiply 4 and -4 to get -16.

$$x=\frac{-5}{-16}$$

Fraction \frac{-5}{-16} can be simplified to \frac{5}{16} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{16}$$