Solve 3m^2-23m-36

Question

Factor the expression

(m - 9) (3 m + 4)

Evaluate

3 m^{2} - 23 m - 36

Rewrite the expression

3 m^{2} + (4 - 27) m - 36

Calculate

3 m^{2} + 4 m - 27 m - 36

Rewrite the expression

m \times 3 m + m \times 4 - 9 \times 3 m - 9 \times 4

Factor out m from the expression

m (3 m + 4) - 9 \times 3 m - 9 \times 4

Factor out - 9 from the expression

m (3 m + 4) - 9 (3 m + 4)

Solution

(m - 9) (3 m + 4)

Show Solution

m_{1} = - \frac{4}{3}, m_{2} = 9

Alternative Form

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

Evaluate

3 m^{2} - 23 m - 36

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

3 m^{2} - 23 m - 36 = 0

Factor the expression

More Steps

Evaluate

3 m^{2} - 23 m - 36

Rewrite the expression

3 m^{2} + (4 - 27) m - 36

Calculate

3 m^{2} + 4 m - 27 m - 36

Rewrite the expression

m \times 3 m + m \times 4 - 9 \times 3 m - 9 \times 4

Factor out m from the expression

m (3 m + 4) - 9 \times 3 m - 9 \times 4

Factor out - 9 from the expression

m (3 m + 4) - 9 (3 m + 4)

Factor out 3 m + 4 from the expression

(m - 9) (3 m + 4)

(m - 9) (3 m + 4) = 0

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

m - 9 = 0 3 m + 4 = 0

Solve the equation for m

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 = 9 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 = 9 m = - \frac{4}{3}

Solution

m_{1} = - \frac{4}{3}, m_{2} = 9

Alternative Form

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

Show Solution