Solve 4x-9/2-x - ScanMath

Question

Simplify the expression

3 x - \frac{9}{2}

Evaluate

4 x - \frac{9}{2} - x

Solution

More Steps

Evaluate

4 x - x

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

(4 - 1) x

Subtract the numbers

3 x

3 x - \frac{9}{2}

Show Solution

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

Evaluate

4 x - \frac{9}{2} - x

Subtract the terms

More Steps

Evaluate

4 x - x

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

(4 - 1) x

Subtract the numbers

3 x

3 x - \frac{9}{2}

Solution

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

Show Solution

x = \frac{3}{2}

Alternative Form

x = 1.5

Evaluate

4 x - \frac{9}{2} - x

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

4 x - \frac{9}{2} - x = 0

Subtract the terms

More Steps

Simplify

4 x - \frac{9}{2} - x

Subtract the terms

More Steps

Evaluate

4 x - x

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

(4 - 1) x

Subtract the numbers

3 x

3 x - \frac{9}{2}

3 x - \frac{9}{2} = 0

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

3 x = 0 + \frac{9}{2}

Add the terms

3 x = \frac{9}{2}

Multiply by the reciprocal

3 x \times \frac{1}{3} = \frac{9}{2} \times \frac{1}{3}

Multiply

x = \frac{9}{2} \times \frac{1}{3}

Solution

More Steps

Evaluate

\frac{9}{2} \times \frac{1}{3}

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