Solve 6x^2-37x-35

Question

Factor the expression

(x - 7) (6 x + 5)

Evaluate

6 x^{2} - 37 x - 35

Rewrite the expression

6 x^{2} + (5 - 42) x - 35

Calculate

6 x^{2} + 5 x - 42 x - 35

Rewrite the expression

x \times 6 x + x \times 5 - 7 \times 6 x - 7 \times 5

Factor out x from the expression

x (6 x + 5) - 7 \times 6 x - 7 \times 5

Factor out - 7 from the expression

x (6 x + 5) - 7 (6 x + 5)

Solution

(x - 7) (6 x + 5)

Show Solution

x_{1} = - \frac{5}{6}, x_{2} = 7

Alternative Form

x_{1} = - 0.8 \dot{3}, x_{2} = 7

Evaluate

6 x^{2} - 37 x - 35

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

6 x^{2} - 37 x - 35 = 0

Factor the expression

More Steps

Evaluate

6 x^{2} - 37 x - 35

Rewrite the expression

6 x^{2} + (5 - 42) x - 35

Calculate

6 x^{2} + 5 x - 42 x - 35

Rewrite the expression

x \times 6 x + x \times 5 - 7 \times 6 x - 7 \times 5

Factor out x from the expression

x (6 x + 5) - 7 \times 6 x - 7 \times 5

Factor out - 7 from the expression

x (6 x + 5) - 7 (6 x + 5)

Factor out 6 x + 5 from the expression

(x - 7) (6 x + 5)

(x - 7) (6 x + 5) = 0

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

x - 7 = 0 6 x + 5 = 0

Solve the equation for x

More Steps

Evaluate

x - 7 = 0

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

x = 0 + 7

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

x = 7

x = 7 6 x + 5 = 0

Solve the equation for x

More Steps

Evaluate

6 x + 5 = 0

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

6 x = 0 - 5

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

6 x = - 5

Divide both sides

\frac{6 x}{6} = \frac{- 5}{6}

Divide the numbers

x = \frac{- 5}{6}

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

x = - \frac{5}{6}

x = 7 x = - \frac{5}{6}

Solution

x_{1} = - \frac{5}{6}, x_{2} = 7

Alternative Form

x_{1} = - 0.8 \dot{3}, x_{2} = 7

Show Solution