Solve 5v^2 -26v = 24

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

v_{1} = - \frac{4}{5}, v_{2} = 6

Alternative Form

v_{1} = - 0.8, v_{2} = 6

Evaluate

5 v^{2} - 26 v = 24

Move the expression to the left side

5 v^{2} - 26 v - 24 = 0

Factor the expression

More Steps

Evaluate

5 v^{2} - 26 v - 24

Rewrite the expression

5 v^{2} + (4 - 30) v - 24

Calculate

5 v^{2} + 4 v - 30 v - 24

Rewrite the expression

v \times 5 v + v \times 4 - 6 \times 5 v - 6 \times 4

Factor out v from the expression

v (5 v + 4) - 6 \times 5 v - 6 \times 4

Factor out - 6 from the expression

v (5 v + 4) - 6 (5 v + 4)

Factor out 5 v + 4 from the expression

(v - 6) (5 v + 4)

(v - 6) (5 v + 4) = 0

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

v - 6 = 0 5 v + 4 = 0

Solve the equation for v

More Steps

Evaluate

v - 6 = 0

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

v = 0 + 6

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

v = 6

v = 6 5 v + 4 = 0

Solve the equation for v

More Steps

Evaluate

5 v + 4 = 0

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

5 v = 0 - 4

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

5 v = - 4

Divide both sides

\frac{5 v}{5} = \frac{- 4}{5}

Divide the numbers

v = \frac{- 4}{5}

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

v = - \frac{4}{5}

v = 6 v = - \frac{4}{5}

Solution

v_{1} = - \frac{4}{5}, v_{2} = 6

Alternative Form

v_{1} = - 0.8, v_{2} = 6

Show Solution