Solve 6x^(2)-49x^(2)-7x

Question

Simplify the expression

- 43 x^{2} - 7 x

Evaluate

6 x^{2} - 49 x^{2} - 7 x

Solution

More Steps

Evaluate

6 x^{2} - 49 x^{2}

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

(6 - 49) x^{2}

Subtract the numbers

- 43 x^{2}

- 43 x^{2} - 7 x

Show Solution

- x (43 x + 7)

Evaluate

6 x^{2} - 49 x^{2} - 7 x

Subtract the terms

More Steps

Evaluate

6 x^{2} - 49 x^{2}

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

(6 - 49) x^{2}

Subtract the numbers

- 43 x^{2}

- 43 x^{2} - 7 x

Rewrite the expression

- x \times 43 x - x \times 7

Solution

- x (43 x + 7)

Show Solution

x_{1} = - \frac{7}{43}, x_{2} = 0

Alternative Form

x_{1} \approx - 0.162791, x_{2} = 0

Evaluate

6 x^{2} - 49 x^{2} - 7 x

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

6 x^{2} - 49 x^{2} - 7 x = 0

Subtract the terms

More Steps

Simplify

6 x^{2} - 49 x^{2}

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

(6 - 49) x^{2}

Subtract the numbers

- 43 x^{2}

- 43 x^{2} - 7 x = 0

Factor the expression

More Steps

Evaluate

- 43 x^{2} - 7 x

Rewrite the expression

- x \times 43 x - x \times 7

Factor out - x from the expression

- x (43 x + 7)

- x (43 x + 7) = 0

When the product of factors equals 0,at least one factor is 0

- x = 0 43 x + 7 = 0

Solve the equation for x

x = 0 43 x + 7 = 0

Solve the equation for x

More Steps

Evaluate

43 x + 7 = 0

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

43 x = 0 - 7

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

43 x = - 7

Divide both sides

\frac{43 x}{43} = \frac{- 7}{43}

Divide the numbers

x = \frac{- 7}{43}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{7}{43}

x = 0 x = - \frac{7}{43}

Solution

x_{1} = - \frac{7}{43}, x_{2} = 0

Alternative Form

x_{1} \approx - 0.162791, x_{2} = 0

Show Solution