Solve (1/4)^2-2*1/4+m=0

$$( \frac { 1 } { 4 } ) ^ { 2 } - 2 \times \frac { 1 } { 4 } + m = 0$$

Solve for m

$$m=\frac{7}{16}=0.4375$$

Steps for Solving Linear Equation

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}-2\times \frac{1}{4}+m=0$$

Multiply 2 and \frac{1}{4} to get \frac{2}{4}.

$$\frac{1}{16}-\frac{2}{4}+m=0$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{16}-\frac{1}{2}+m=0$$

Least common multiple of 16 and 2 is 16. Convert \frac{1}{16} and \frac{1}{2} to fractions with denominator 16.

$$\frac{1}{16}-\frac{8}{16}+m=0$$

Since \frac{1}{16} and \frac{8}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-8}{16}+m=0$$

Subtract 8 from 1 to get -7.

$$-\frac{7}{16}+m=0$$

Add \frac{7}{16} to both sides. Anything plus zero gives itself.

$$m=\frac{7}{16}$$