Solve (x-10) (3x-6)

Question

Simplify the expression

Solution

3 x^{2} - 36 x + 60

Evaluate

(x - 10) (3 x - 6)

Apply the distributive property

x \times 3 x - x \times 6 - 10 \times 3 x - (- 10 \times 6)

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 6 - 10 \times 3 x - (- 10 \times 6)

Use the commutative property to reorder the terms

3 x^{2} - 6 x - 10 \times 3 x - (- 10 \times 6)

Multiply the numbers

3 x^{2} - 6 x - 30 x - (- 10 \times 6)

Multiply the numbers

3 x^{2} - 6 x - 30 x - (- 60)

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} - 6 x - 30 x + 60

Solution

More Steps

Evaluate

- 6 x - 30 x

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

(- 6 - 30) x

Subtract the numbers

- 36 x

3 x^{2} - 36 x + 60

Show Solution

Factor the expression

Factor

3 (x - 10) (x - 2)

Evaluate

(x - 10) (3 x - 6)

Factor the expression

(x - 10) \times 3 (x - 2)

Solution

3 (x - 10) (x - 2)

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = 2, x_{2} = 10

Evaluate

(x - 10) (3 x - 6)

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

(x - 10) (3 x - 6) = 0

Separate the equation into 2 possible cases

x - 10 = 0 3 x - 6 = 0

Solve the equation

More Steps

Evaluate

x - 10 = 0

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

x = 0 + 10

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

x = 10

x = 10 3 x - 6 = 0

Solve the equation

More Steps

Evaluate

3 x - 6 = 0

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

3 x = 0 + 6

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

3 x = 6

Divide both sides

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

Divide the numbers

x = \frac{6}{3}

Divide the numbers

More Steps

Evaluate

\frac{6}{3}

Reduce the numbers

\frac{2}{1}

Calculate

2

x = 2

x = 10 x = 2

Solution

x_{1} = 2, x_{2} = 10

Show Solution

(x 10) (3x 6)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression