Solve 3m^2+13m+12

Question

Factor the expression

(m + 3) (3 m + 4)

Evaluate

3 m^{2} + 13 m + 12

Rewrite the expression

3 m^{2} + (4 + 9) m + 12

Calculate

3 m^{2} + 4 m + 9 m + 12

Rewrite the expression

m \times 3 m + m \times 4 + 3 \times 3 m + 3 \times 4

Factor out m from the expression

m (3 m + 4) + 3 \times 3 m + 3 \times 4

Factor out 3 from the expression

m (3 m + 4) + 3 (3 m + 4)

Solution

(m + 3) (3 m + 4)

Show Solution

m_{1} = - 3, m_{2} = - \frac{4}{3}

Alternative Form

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

Evaluate

3 m^{2} + 13 m + 12

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

3 m^{2} + 13 m + 12 = 0

Factor the expression

More Steps

Evaluate

3 m^{2} + 13 m + 12

Rewrite the expression

3 m^{2} + (4 + 9) m + 12

Calculate

3 m^{2} + 4 m + 9 m + 12

Rewrite the expression

m \times 3 m + m \times 4 + 3 \times 3 m + 3 \times 4

Factor out m from the expression

m (3 m + 4) + 3 \times 3 m + 3 \times 4

Factor out 3 from the expression

m (3 m + 4) + 3 (3 m + 4)

Factor out 3 m + 4 from the expression

(m + 3) (3 m + 4)

(m + 3) (3 m + 4) = 0

When the product of factors equals 0,at least one factor is 0

m + 3 = 0 3 m + 4 = 0

Solve the equation for m

More Steps

Evaluate

m + 3 = 0

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

m = 0 - 3

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

m = - 3

m = - 3 3 m + 4 = 0

Solve the equation for m

More Steps

Evaluate

3 m + 4 = 0

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

3 m = 0 - 4

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

3 m = - 4

Divide both sides

\frac{3 m}{3} = \frac{- 4}{3}

Divide the numbers

m = \frac{- 4}{3}

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

m = - \frac{4}{3}

m = - 3 m = - \frac{4}{3}

Solution

m_{1} = - 3, m_{2} = - \frac{4}{3}

Alternative Form

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

Show Solution