Solve (5x - 6) ( x - 1)

Question

Simplify the expression

5 x^{2} - 11 x + 6

Evaluate

(5 x - 6) (x - 1)

Apply the distributive property

5 x \times x - 5 x \times 1 - 6 x - (- 6 \times 1)

Multiply the terms

5 x^{2} - 5 x \times 1 - 6 x - (- 6 \times 1)

Any expression multiplied by 1 remains the same

5 x^{2} - 5 x - 6 x - (- 6 \times 1)

Any expression multiplied by 1 remains the same

5 x^{2} - 5 x - 6 x - (- 6)

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

5 x^{2} - 5 x - 6 x + 6

Solution

More Steps

Evaluate

- 5 x - 6 x

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

(- 5 - 6) x

Subtract the numbers

- 11 x

5 x^{2} - 11 x + 6

Show Solution

Find the roots

x_{1} = 1, x_{2} = \frac{6}{5}

Alternative Form

x_{1} = 1, x_{2} = 1.2

Evaluate

(5 x - 6) (x - 1)

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

(5 x - 6) (x - 1) = 0

Separate the equation into 2 possible cases

5 x - 6 = 0 x - 1 = 0

Solve the equation

More Steps

Evaluate

5 x - 6 = 0

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

5 x = 0 + 6

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

5 x = 6

Divide both sides

\frac{5 x}{5} = \frac{6}{5}

Divide the numbers

x = \frac{6}{5}

x = \frac{6}{5} 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{6}{5} x = 1

Solution

x_{1} = 1, x_{2} = \frac{6}{5}

Alternative Form

x_{1} = 1, x_{2} = 1.2

Show Solution