Solve (3x^2-21x^22)/(x-5)

Question

Simplify the expression

- \frac{39 x ^{2}}{x - 5}

Evaluate

\frac{3 x ^{2} - 21 x ^{2} \times 2}{x - 5}

Multiply the terms

\frac{3 x ^{2} - 42 x ^{2}}{x - 5}

Subtract the terms

More Steps

Simplify

3 x^{2} - 42 x^{2}

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

(3 - 42) x^{2}

Subtract the numbers

- 39 x^{2}

\frac{- 39 x ^{2}}{x - 5}

Solution

- \frac{39 x ^{2}}{x - 5}

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x = 5

Evaluate

\frac{3 x ^{2} - 21 x ^{2} \times 2}{x - 5}

To find the excluded values,set the denominators equal to 0

x - 5 = 0

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

x = 0 + 5

Solution

x = 5

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x = 0

Evaluate

\frac{3 x ^{2} - 21 x ^{2} \times 2}{x - 5}

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

\frac{3 x ^{2} - 21 x ^{2} \times 2}{x - 5} = 0

Find the domain

More Steps

Evaluate

x - 5 \neq = 0

Move the constant to the right side

x \neq = 0 + 5

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

x \neq = 5

\frac{3 x ^{2} - 21 x ^{2} \times 2}{x - 5} = 0, x \neq = 5

Calculate

\frac{3 x ^{2} - 21 x ^{2} \times 2}{x - 5} = 0

Multiply the terms

\frac{3 x ^{2} - 42 x ^{2}}{x - 5} = 0

Subtract the terms

More Steps

Simplify

3 x^{2} - 42 x^{2}

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

(3 - 42) x^{2}

Subtract the numbers

- 39 x^{2}

\frac{- 39 x ^{2}}{x - 5} = 0

Cross multiply

- 39 x^{2} = (x - 5) \times 0

Simplify the equation

- 39 x^{2} = 0

Change the signs on both sides of the equation

39 x^{2} = 0

Rewrite the expression

x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0

Check if the solution is in the defined range

x = 0, x \neq = 5

Solution

x = 0

Show Solution