Solve ((2x 1)(2x 1)(2x^2))/(( 1/2 )(2x^2)(2x))

Question

Simplify the expression

4 x

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x = 0

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x \in \emptyset

Evaluate

\frac{( 2 x \times 1 ) ( 2 x \times 1 ) ( 2 x ^{2} )}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )}

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

\frac{( 2 x \times 1 ) ( 2 x \times 1 ) ( 2 x ^{2} )}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )} = 0

Find the domain

More Steps

\frac{( 2 x \times 1 ) ( 2 x \times 1 ) ( 2 x ^{2} )}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )} = 0, x \neq = 0

Calculate

\frac{( 2 x \times 1 ) ( 2 x \times 1 ) ( 2 x ^{2} )}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )} = 0

Multiply the terms

\frac{2 x ( 2 x \times 1 ) ( 2 x ^{2} )}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )} = 0

Multiply the terms

\frac{2 x \times 2 x ( 2 x ^{2} )}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )} = 0

Multiply the terms

\frac{2 x \times 2 x \times 2 x ^{2}}{( \frac{1}{2} ) ( 2 x ^{2} ) ( 2 x )} = 0

Remove the unnecessary parentheses

\frac{2 x \times 2 x \times 2 x ^{2}}{\frac{1}{2} ( 2 x ^{2} ) ( 2 x )} = 0

Multiply the terms

\frac{2 x \times 2 x \times 2 x ^{2}}{\frac{1}{2} \times 2 x ^{2} ( 2 x )} = 0

Multiply the terms

\frac{2 x \times 2 x \times 2 x ^{2}}{\frac{1}{2} \times 2 x ^{2} \times 2 x} = 0

Multiply

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\frac{2 ^{3} x ^{4}}{\frac{1}{2} \times 2 x ^{2} \times 2 x} = 0

Multiply

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\frac{2 ^{3} x ^{4}}{2 x ^{3}} = 0

Divide the terms

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2^{2} x = 0

Rewrite the expression

x = 0

Check if the solution is in the defined range

x = 0, x \neq = 0

Solution

x \in \emptyset

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