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

Question

Simplify the expression

3 x^{2} - 6 x + 3

Evaluate

(x - 1) (3 x - 3)

Apply the distributive property

x \times 3 x - x \times 3 - 3 x - (- 3)

Multiply the terms

More Steps

Evaluate

x \times 3 x

Use the commutative property to reorder the terms

3 x \times x

Multiply the terms

3 x^{2}

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

Use the commutative property to reorder the terms

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

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 - 3 x + 3

Solution

More Steps

Evaluate

- 3 x - 3 x

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

(- 3 - 3) x

Subtract the numbers

- 6 x

3 x^{2} - 6 x + 3

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Factor the expression

3 (x - 1)^{2}

Evaluate

(x - 1) (3 x - 3)

Evaluate

3 x^{2} - 6 x + 3

Solution

3 (x - 1)^{2}

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Find the roots

x = 1

Evaluate

(x - 1) (3 x - 3)

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

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

Separate the equation into 2 possible cases

x - 1 = 0 3 x - 3 = 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 = 1 3 x - 3 = 0

Solve the equation

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Evaluate

3 x - 3 = 0

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

3 x = 0 + 3

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

3 x = 3

Divide both sides

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

Divide the numbers

x = \frac{3}{3}

Divide the numbers

More Steps

Evaluate

\frac{3}{3}

Reduce the numbers

\frac{1}{1}

Calculate

1

x = 1

x = 1 x = 1

Solution

x = 1

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