Solve 2x1 1/2x1 1/2

Question

Simplify the expression

\frac{9}{2} x^{2}

Evaluate

2 x \times 1 \frac{1}{2} \times x \times 1 \frac{1}{2}

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}

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

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}

2 x \times \frac{3}{2} x \times \frac{3}{2}

Multiply the terms

More Steps

Evaluate

2 \times \frac{3}{2} \times \frac{3}{2}

Reduce the fraction

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

Any expression multiplied by 1 remains the same

3 \times \frac{3}{2}

Multiply the numbers

\frac{3 \times 3}{2}

Multiply the numbers

\frac{9}{2}

\frac{9}{2} x \times x

Solution

\frac{9}{2} x^{2}

Show Solution

Find the roots

x = 0

Evaluate

2 x \times 1 \frac{1}{2} \times x \times 1 \frac{1}{2}

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

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

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

2 x \times \frac{3}{2} x \times \frac{3}{2} = 0

Multiply

More Steps

Multiply the terms

2 x \times \frac{3}{2} x \times \frac{3}{2}

Multiply the terms

More Steps

Evaluate

2 \times \frac{3}{2} \times \frac{3}{2}

Reduce the fraction

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

Any expression multiplied by 1 remains the same

3 \times \frac{3}{2}

Multiply the numbers

\frac{3 \times 3}{2}

Multiply the numbers

\frac{9}{2}

\frac{9}{2} x \times x

Multiply the terms

\frac{9}{2} x^{2}

\frac{9}{2} x^{2} = 0

Rewrite the expression

x^{2} = 0

Solution

x = 0

Show Solution