Solve \dfrac{3x-10}{9x^2 18x 9} \dfrac{-6x^3}{9x^2 18

Question

Simplify the expression

- \frac{3 x - 10}{354294 x ^{3}}

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x = 0

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x = \frac{10}{3}

Alternative Form

x = 3. \dot{3}

Evaluate

\frac{3 x - 10}{9 x ^{2} \times 18 x \times 9} \times \frac{- 6 x ^{3}}{9 x ^{2} \times 18 x \times 9}

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

\frac{3 x - 10}{9 x ^{2} \times 18 x \times 9} \times \frac{- 6 x ^{3}}{9 x ^{2} \times 18 x \times 9} = 0

Find the domain

More Steps

\frac{3 x - 10}{9 x ^{2} \times 18 x \times 9} \times \frac{- 6 x ^{3}}{9 x ^{2} \times 18 x \times 9} = 0, x \neq = 0

Calculate

\frac{3 x - 10}{9 x ^{2} \times 18 x \times 9} \times \frac{- 6 x ^{3}}{9 x ^{2} \times 18 x \times 9} = 0

Multiply

More Steps

\frac{3 x - 10}{1458 x ^{3}} \times \frac{- 6 x ^{3}}{9 x ^{2} \times 18 x \times 9} = 0

Multiply

More Steps

\frac{3 x - 10}{1458 x ^{3}} \times \frac{- 6 x ^{3}}{1458 x ^{3}} = 0

Divide the terms

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\frac{3 x - 10}{1458 x ^{3}} \times (- \frac{1}{243}) = 0

Multiply the terms

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- \frac{3 x - 10}{354294 x ^{3}} = 0

Rewrite the expression

\frac{- 3 x + 10}{354294 x ^{3}} = 0

Cross multiply

- 3 x + 10 = 354294 x^{3} \times 0

Simplify the equation

- 3 x + 10 = 0

Move the constant to the right side

- 3 x = 0 - 10

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

- 3 x = - 10

Change the signs on both sides of the equation

3 x = 10

Divide both sides

\frac{3 x}{3} = \frac{10}{3}

Divide the numbers

x = \frac{10}{3}

Check if the solution is in the defined range

x = \frac{10}{3}, x \neq = 0

Solution

x = \frac{10}{3}

Alternative Form

x = 3. \dot{3}

Show Solution