Solve ( 2/(x 1) - 4/(x 1)^(2) )/ (x^5)/(x 1)^(2)

Question

Simplify the expression

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

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x = 0

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x = 2

Evaluate

\frac{\frac{2}{x \times 1} - \frac{4}{( x \times 1 ) ^{2}}}{x ^{5}} \div (x \times 1)^{2}

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

\frac{\frac{2}{x \times 1} - \frac{4}{( x \times 1 ) ^{2}}}{x ^{5}} \div (x \times 1)^{2} = 0

Find the domain

More Steps

\frac{\frac{2}{x \times 1} - \frac{4}{( x \times 1 ) ^{2}}}{x ^{5}} \div (x \times 1)^{2} = 0, x \neq = 0

Calculate

\frac{\frac{2}{x \times 1} - \frac{4}{( x \times 1 ) ^{2}}}{x ^{5}} \div (x \times 1)^{2} = 0

Any expression multiplied by 1 remains the same

\frac{\frac{2}{x \times 1} - \frac{4}{x ^{2}}}{x ^{5}} \div (x \times 1)^{2} = 0

Any expression multiplied by 1 remains the same

\frac{\frac{2}{x \times 1} - \frac{4}{x ^{2}}}{x ^{5}} \div x^{2} = 0

Any expression multiplied by 1 remains the same

\frac{\frac{2}{x} - \frac{4}{x ^{2}}}{x ^{5}} \div x^{2} = 0

Subtract the terms

More Steps

\frac{\frac{2 x - 4}{x ^{2}}}{x ^{5}} \div x^{2} = 0

Divide the terms

More Steps

\frac{2 x - 4}{x ^{7}} \div x^{2} = 0

Divide the terms

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

Cross multiply

2 x - 4 = x^{9} \times 0

Simplify the equation

2 x - 4 = 0

Move the constant to the right side

2 x = 0 + 4

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

2 x = 4

Divide both sides

\frac{2 x}{2} = \frac{4}{2}

Divide the numbers

x = \frac{4}{2}

Divide the numbers

More Steps

x = 2

Check if the solution is in the defined range

x = 2, x \neq = 0

Solution

x = 2

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