Solve 5x^2-16x-340

Question

Factor the expression

(x - 10) (5 x + 34)

Evaluate

5 x^{2} - 16 x - 340

Rewrite the expression

5 x^{2} + (34 - 50) x - 340

Calculate

5 x^{2} + 34 x - 50 x - 340

Rewrite the expression

x \times 5 x + x \times 34 - 10 \times 5 x - 10 \times 34

Factor out x from the expression

x (5 x + 34) - 10 \times 5 x - 10 \times 34

Factor out - 10 from the expression

x (5 x + 34) - 10 (5 x + 34)

Solution

(x - 10) (5 x + 34)

Show Solution

x_{1} = - \frac{34}{5}, x_{2} = 10

Alternative Form

x_{1} = - 6.8, x_{2} = 10

Evaluate

5 x^{2} - 16 x - 340

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

5 x^{2} - 16 x - 340 = 0

Factor the expression

More Steps

Evaluate

5 x^{2} - 16 x - 340

Rewrite the expression

5 x^{2} + (34 - 50) x - 340

Calculate

5 x^{2} + 34 x - 50 x - 340

Rewrite the expression

x \times 5 x + x \times 34 - 10 \times 5 x - 10 \times 34

Factor out x from the expression

x (5 x + 34) - 10 \times 5 x - 10 \times 34

Factor out - 10 from the expression

x (5 x + 34) - 10 (5 x + 34)

Factor out 5 x + 34 from the expression

(x - 10) (5 x + 34)

(x - 10) (5 x + 34) = 0

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

x - 10 = 0 5 x + 34 = 0

Solve the equation for x

More Steps

Evaluate

x - 10 = 0

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

x = 0 + 10

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

x = 10

x = 10 5 x + 34 = 0

Solve the equation for x

More Steps

Evaluate

5 x + 34 = 0

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

5 x = 0 - 34

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

5 x = - 34

Divide both sides

\frac{5 x}{5} = \frac{- 34}{5}

Divide the numbers

x = \frac{- 34}{5}

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

x = - \frac{34}{5}

x = 10 x = - \frac{34}{5}

Solution

x_{1} = - \frac{34}{5}, x_{2} = 10

Alternative Form

x_{1} = - 6.8, x_{2} = 10

Show Solution