Solve -1/2 (1/4x - 3/8)

Question

Simplify the expression

- \frac{1}{8} x + \frac{3}{16}

Evaluate

- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8})

Multiply the terms

More Steps

Evaluate

\frac{1}{2} (\frac{1}{4} x - \frac{3}{8})

Apply the distributive property

\frac{1}{2} \times \frac{1}{4} x - \frac{1}{2} \times \frac{3}{8}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 4}

Multiply the numbers

\frac{1}{8}

\frac{1}{8} x - \frac{1}{2} \times \frac{3}{8}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{3}{8}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{2 \times 8}

Multiply the numbers

\frac{3}{16}

\frac{1}{8} x - \frac{3}{16}

- (\frac{1}{8} x - \frac{3}{16})

Solution

- \frac{1}{8} x + \frac{3}{16}

Show Solution

Factor the expression

- \frac{1}{16} (2 x - 3)

Evaluate

- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8})

Factor the expression

- \frac{1}{2} \times \frac{1}{8} (2 x - 3)

Solution

- \frac{1}{16} (2 x - 3)

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Find the roots

x = \frac{3}{2}

Alternative Form

x = 1.5

Evaluate

- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8})

To find the roots of the expression,set the expression equal to 0

- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8}) = 0

Multiply the terms

More Steps

Evaluate

\frac{1}{2} (\frac{1}{4} x - \frac{3}{8})

Apply the distributive property

\frac{1}{2} \times \frac{1}{4} x - \frac{1}{2} \times \frac{3}{8}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 4}

Multiply the numbers

\frac{1}{8}

\frac{1}{8} x - \frac{1}{2} \times \frac{3}{8}

Multiply the numbers

More Steps

Evaluate

\frac{1}{2} \times \frac{3}{8}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{2 \times 8}

Multiply the numbers

\frac{3}{16}

\frac{1}{8} x - \frac{3}{16}

- (\frac{1}{8} x - \frac{3}{16}) = 0

Calculate

- \frac{1}{8} x + \frac{3}{16} = 0

Move the constant to the right-hand side and change its sign

- \frac{1}{8} x = 0 - \frac{3}{16}

Removing 0 doesn't change the value,so remove it from the expression

- \frac{1}{8} x = - \frac{3}{16}

Change the signs on both sides of the equation

\frac{1}{8} x = \frac{3}{16}

Multiply by the reciprocal

\frac{1}{8} x \times 8 = \frac{3}{16} \times 8

Multiply

x = \frac{3}{16} \times 8

Solution

More Steps

Evaluate

\frac{3}{16} \times 8

Reduce the numbers

\frac{3}{2} \times 1

Multiply the numbers

\frac{3}{2}

x = \frac{3}{2}

Alternative Form

x = 1.5

Show Solution