Solve - (-3x-1) (x-3)

Question

Simplify the expression

3 x^{2} - 8 x - 3

Evaluate

- (- 3 x - 1) (x - 3)

Calculate

(3 x + 1) (x - 3)

Apply the distributive property

3 x \times x - 3 x \times 3 + 1 \times x - 1 \times 3

Multiply the terms

3 x^{2} - 3 x \times 3 + 1 \times x - 1 \times 3

Multiply the numbers

3 x^{2} - 9 x + 1 \times x - 1 \times 3

Any expression multiplied by 1 remains the same

3 x^{2} - 9 x + x - 1 \times 3

Any expression multiplied by 1 remains the same

3 x^{2} - 9 x + x - 3

Solution

More Steps

Evaluate

- 9 x + x

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

(- 9 + 1) x

Add the numbers

- 8 x

3 x^{2} - 8 x - 3

Show Solution

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

Alternative Form

x_{1} = - 0. \dot{3}, x_{2} = 3

Evaluate

- (- 3 x - 1) (x - 3)

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

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

Calculate

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

Separate the equation into 2 possible cases

3 x + 1 = 0 x - 3 = 0

Solve the equation

More Steps

Evaluate

3 x + 1 = 0

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

3 x = 0 - 1

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

3 x = - 1

Divide both sides

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

Divide the numbers

x = \frac{- 1}{3}

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

x = - \frac{1}{3}

x = - \frac{1}{3} x - 3 = 0

Solve the equation

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

Solution

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

Alternative Form

x_{1} = - 0. \dot{3}, x_{2} = 3

Show Solution