Solve 6x^2-17x-3 - ScanMath

Question

Factor the expression

Factor

(x - 3) (6 x + 1)

Evaluate

6 x^{2} - 17 x - 3

Rewrite the expression

6 x^{2} + (1 - 18) x - 3

Calculate

6 x^{2} + x - 18 x - 3

Rewrite the expression

x \times 6 x + x - 3 \times 6 x - 3

Factor out x from the expression

x (6 x + 1) - 3 \times 6 x - 3

Factor out - 3 from the expression

x (6 x + 1) - 3 (6 x + 1)

Solution

(x - 3) (6 x + 1)

Show Solution

Find the roots of the algebra expression

x_{1} = - \frac{1}{6}, x_{2} = 3

Alternative Form

x_{1} = - 0.1 \dot{6}, x_{2} = 3

Evaluate

6 x^{2} - 17 x - 3

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

6 x^{2} - 17 x - 3 = 0

Factor the expression

More Steps

Evaluate

6 x^{2} - 17 x - 3

Rewrite the expression

6 x^{2} + (1 - 18) x - 3

Calculate

6 x^{2} + x - 18 x - 3

Rewrite the expression

x \times 6 x + x - 3 \times 6 x - 3

Factor out x from the expression

x (6 x + 1) - 3 \times 6 x - 3

Factor out - 3 from the expression

x (6 x + 1) - 3 (6 x + 1)

Factor out 6 x + 1 from the expression

(x - 3) (6 x + 1)

(x - 3) (6 x + 1) = 0

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

x - 3 = 0 6 x + 1 = 0

Solve the equation for x

More Steps

Evaluate

x - 3 = 0

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

x = 0 + 3

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

x = 3

x = 3 6 x + 1 = 0

Solve the equation for x

More Steps

Evaluate

6 x + 1 = 0

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

6 x = 0 - 1

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

6 x = - 1

Divide both sides

\frac{6 x}{6} = \frac{- 1}{6}

Divide the numbers

x = \frac{- 1}{6}

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

x = - \frac{1}{6}

x = 3 x = - \frac{1}{6}

Solution

x_{1} = - \frac{1}{6}, x_{2} = 3

Alternative Form

x_{1} = - 0.1 \dot{6}, x_{2} = 3

Show Solution