Solve (3x-2)(x-1)

Question

Simplify the expression

3 x^{2} - 5 x + 2

Evaluate

(3 x - 2) (x - 1)

Apply the distributive property

3 x \times x - 3 x \times 1 - 2 x - (- 2 \times 1)

Multiply the terms

3 x^{2} - 3 x \times 1 - 2 x - (- 2 \times 1)

Any expression multiplied by 1 remains the same

3 x^{2} - 3 x - 2 x - (- 2 \times 1)

Any expression multiplied by 1 remains the same

3 x^{2} - 3 x - 2 x - (- 2)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

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

Solution

More Steps

Evaluate

- 3 x - 2 x

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

(- 3 - 2) x

Subtract the numbers

- 5 x

3 x^{2} - 5 x + 2

Show Solution

Find the roots

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

Alternative Form

x_{1} = 0. \dot{6}, x_{2} = 1

Evaluate

(3 x - 2) (x - 1)

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

(3 x - 2) (x - 1) = 0

Separate the equation into 2 possible cases

3 x - 2 = 0 x - 1 = 0

Solve the equation

More Steps

Evaluate

3 x - 2 = 0

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

3 x = 0 + 2

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

3 x = 2

Divide both sides

\frac{3 x}{3} = \frac{2}{3}

Divide the numbers

x = \frac{2}{3}

x = \frac{2}{3} x - 1 = 0

Solve the equation

More Steps

Evaluate

x - 1 = 0

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

x = 0 + 1

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

x = 1

x = \frac{2}{3} x = 1

Solution

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

Alternative Form

x_{1} = 0. \dot{6}, x_{2} = 1

Show Solution