Solve 17-325-u-1 1/2-u

Question

Simplify the expression

- \frac{619}{2} - 2 u

Evaluate

17 - 325 - u - 1 \frac{1}{2} - u

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

17 - 325 - u - \frac{3}{2} - u

Subtract the numbers

- 308 - u - \frac{3}{2} - u

Subtract the terms

More Steps

Evaluate

- u - u

Collect like terms by calculating the sum or difference of their coefficients

(- 1 - 1) u

Subtract the numbers

- 2 u

- 308 - 2 u - \frac{3}{2}

Solution

More Steps

Evaluate

- 308 - \frac{3}{2}

Reduce fractions to a common denominator

- \frac{308 \times 2}{2} - \frac{3}{2}

Write all numerators above the common denominator

\frac{- 308 \times 2 - 3}{2}

Multiply the numbers

\frac{- 616 - 3}{2}

Subtract the numbers

\frac{- 619}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{619}{2}

- \frac{619}{2} - 2 u

Show Solution

Factor the expression

- \frac{1}{2} (619 + 4 u)

Evaluate

17 - 325 - u - 1 \frac{1}{2} - u

Subtract the numbers

- 308 - u - 1 \frac{1}{2} - u

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

- 308 - u - \frac{3}{2} - u

Subtract the numbers

More Steps

Simplify

- 308 - u - \frac{3}{2}

Subtract the numbers

More Steps

Evaluate

- 308 - \frac{3}{2}

Reduce fractions to a common denominator

- \frac{308 \times 2}{2} - \frac{3}{2}

Write all numerators above the common denominator

\frac{- 308 \times 2 - 3}{2}

Multiply the numbers

\frac{- 616 - 3}{2}

Subtract the numbers

\frac{- 619}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{619}{2}

- \frac{619}{2} - u

- \frac{619}{2} - u - u

Subtract the terms

More Steps

Evaluate

- u - u

Collect like terms by calculating the sum or difference of their coefficients

(- 1 - 1) u

Subtract the numbers

- 2 u

- \frac{619}{2} - 2 u

Solution

- \frac{1}{2} (619 + 4 u)

Show Solution

Find the roots

u = - \frac{619}{4}

Alternative Form

u = - 154.75

Evaluate

17 - 325 - u - 1 \frac{1}{2} - u

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

17 - 325 - u - 1 \frac{1}{2} - u = 0

Subtract the numbers

- 308 - u - 1 \frac{1}{2} - u = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

- 308 - u - \frac{3}{2} - u = 0

Subtract the numbers

More Steps

Simplify

- 308 - u - \frac{3}{2}

Subtract the numbers

More Steps

Evaluate

- 308 - \frac{3}{2}

Reduce fractions to a common denominator

- \frac{308 \times 2}{2} - \frac{3}{2}

Write all numerators above the common denominator

\frac{- 308 \times 2 - 3}{2}

Multiply the numbers

\frac{- 616 - 3}{2}

Subtract the numbers

\frac{- 619}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{619}{2}

- \frac{619}{2} - u

- \frac{619}{2} - u - u = 0

Subtract the terms

More Steps

Simplify

- \frac{619}{2} - u - u

Subtract the terms

More Steps

Evaluate

- u - u

Collect like terms by calculating the sum or difference of their coefficients

(- 1 - 1) u

Subtract the numbers

- 2 u

- \frac{619}{2} - 2 u

- \frac{619}{2} - 2 u = 0

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

- 2 u = 0 + \frac{619}{2}

Add the terms

- 2 u = \frac{619}{2}

Change the signs on both sides of the equation

2 u = - \frac{619}{2}

Multiply by the reciprocal

2 u \times \frac{1}{2} = - \frac{619}{2} \times \frac{1}{2}

Multiply

u = - \frac{619}{2} \times \frac{1}{2}

Solution

More Steps

Evaluate

- \frac{619}{2} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{619}{2 \times 2}

Multiply the numbers

- \frac{619}{4}

u = - \frac{619}{4}

Alternative Form

u = - 154.75

Show Solution