Solve 0.5*1/2+30%x=1/4

$$0.5 \times \frac { 1 } { 2 } + 30 \% x = \frac { 1 } { 4 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{1}{2}+\frac{30}{100}x=\frac{1}{4}$$

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

$$\frac{1\times 1}{2\times 2}+\frac{30}{100}x=\frac{1}{4}$$

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

$$\frac{1}{4}+\frac{30}{100}x=\frac{1}{4}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{4}+\frac{3}{10}x=\frac{1}{4}$$

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

$$\frac{3}{10}x=\frac{1}{4}-\frac{1}{4}$$

Subtract \frac{1}{4} from \frac{1}{4} to get 0.

$$\frac{3}{10}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{3}{10} is not equal to 0, x must be equal to 0.

$$x=0$$