Solve 5m^2 - 4m - 12 =0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

m_{1} = - \frac{6}{5}, m_{2} = 2

Alternative Form

m_{1} = - 1.2, m_{2} = 2

Evaluate

5 m^{2} - 4 m - 12 = 0

Factor the expression

More Steps

Evaluate

5 m^{2} - 4 m - 12

Rewrite the expression

5 m^{2} + (6 - 10) m - 12

Calculate

5 m^{2} + 6 m - 10 m - 12

Rewrite the expression

m \times 5 m + m \times 6 - 2 \times 5 m - 2 \times 6

Factor out m from the expression

m (5 m + 6) - 2 \times 5 m - 2 \times 6

Factor out - 2 from the expression

m (5 m + 6) - 2 (5 m + 6)

Factor out 5 m + 6 from the expression

(m - 2) (5 m + 6)

(m - 2) (5 m + 6) = 0

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

m - 2 = 0 5 m + 6 = 0

Solve the equation for m

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 = 2 5 m + 6 = 0

Solve the equation for m

More Steps

Evaluate

5 m + 6 = 0

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

5 m = 0 - 6

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

5 m = - 6

Divide both sides

\frac{5 m}{5} = \frac{- 6}{5}

Divide the numbers

m = \frac{- 6}{5}

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

m = - \frac{6}{5}

m = 2 m = - \frac{6}{5}

Solution

m_{1} = - \frac{6}{5}, m_{2} = 2

Alternative Form

m_{1} = - 1.2, m_{2} = 2

Show Solution