Solve (3m+1)(m+9)

Question

Simplify the expression

3 m^{2} + 28 m + 9

Evaluate

(3 m + 1) (m + 9)

Apply the distributive property

3 m \times m + 3 m \times 9 + 1 \times m + 1 \times 9

Multiply the terms

3 m^{2} + 3 m \times 9 + 1 \times m + 1 \times 9

Multiply the numbers

3 m^{2} + 27 m + 1 \times m + 1 \times 9

Any expression multiplied by 1 remains the same

3 m^{2} + 27 m + m + 1 \times 9

Any expression multiplied by 1 remains the same

3 m^{2} + 27 m + m + 9

Solution

More Steps

Evaluate

27 m + m

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

(27 + 1) m

Add the numbers

28 m

3 m^{2} + 28 m + 9

Show Solution

m_{1} = - 9, m_{2} = - \frac{1}{3}

Alternative Form

m_{1} = - 9, m_{2} = - 0. \dot{3}

Evaluate

(3 m + 1) (m + 9)

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

(3 m + 1) (m + 9) = 0

Separate the equation into 2 possible cases

3 m + 1 = 0 m + 9 = 0

Solve the equation

More Steps

Evaluate

3 m + 1 = 0

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

3 m = 0 - 1

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

3 m = - 1

Divide both sides

\frac{3 m}{3} = \frac{- 1}{3}

Divide the numbers

m = \frac{- 1}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

m = - \frac{1}{3}

m = - \frac{1}{3} m + 9 = 0

Solve the equation

More Steps

Evaluate

m + 9 = 0

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

m = 0 - 9

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

m = - 9

m = - \frac{1}{3} m = - 9

Solution

m_{1} = - 9, m_{2} = - \frac{1}{3}

Alternative Form

m_{1} = - 9, m_{2} = - 0. \dot{3}

Show Solution