Solve (3m - 5)(m - 2)

Question

Simplify the expression

3 m^{2} - 11 m + 10

Evaluate

(3 m - 5) (m - 2)

Apply the distributive property

3 m \times m - 3 m \times 2 - 5 m - (- 5 \times 2)

Multiply the terms

3 m^{2} - 3 m \times 2 - 5 m - (- 5 \times 2)

Multiply the numbers

3 m^{2} - 6 m - 5 m - (- 5 \times 2)

Multiply the numbers

3 m^{2} - 6 m - 5 m - (- 10)

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 m^{2} - 6 m - 5 m + 10

Solution

More Steps

Evaluate

- 6 m - 5 m

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

(- 6 - 5) m

Subtract the numbers

- 11 m

3 m^{2} - 11 m + 10

Show Solution

Find the roots

m_{1} = \frac{5}{3}, m_{2} = 2

Alternative Form

m_{1} = 1. \dot{6}, m_{2} = 2

Evaluate

(3 m - 5) (m - 2)

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

(3 m - 5) (m - 2) = 0

Separate the equation into 2 possible cases

3 m - 5 = 0 m - 2 = 0

Solve the equation

More Steps

Evaluate

3 m - 5 = 0

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

3 m = 0 + 5

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

3 m = 5

Divide both sides

\frac{3 m}{3} = \frac{5}{3}

Divide the numbers

m = \frac{5}{3}

m = \frac{5}{3} m - 2 = 0

Solve the equation

More Steps

Evaluate

m - 2 = 0

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

m = 0 + 2

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

m = 2

m = \frac{5}{3} m = 2

Solution

m_{1} = \frac{5}{3}, m_{2} = 2

Alternative Form

m_{1} = 1. \dot{6}, m_{2} = 2

Show Solution