What are the solutions to the equation (x+6)x=720 ?

The solutions to the equation (x+6)x=720 are x=24,x=-30

Find the zeros of (x+6)x=720

The zeros of (x+6)x=720 are x=24,x=-30

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(x + 6) x = 720

x = 24, x = - 30

Solution steps

(x + 6) x = 720

Expand

(x + 6) x : x^{2} + 6 x

x^{2} + 6 x = 720

Move

720

to the left side

x^{2} + 6 x - 720 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 720 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 720) = 54

x_{1, 2} = \frac{- 6 \pm 54}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 54}{2 \cdot 1}, x_{2} = \frac{- 6 - 54}{2 \cdot 1}

x = \frac{- 6 + 54}{2 \cdot 1} : 24

x = \frac{- 6 - 54}{2 \cdot 1} : - 30

The solutions to the quadratic equation are:

x = 24, x = - 30

x^{2} + 18 x = 15

d = 0.006 (1 - \frac{( ( 1.82 ) - ( d ) ( 1500 ) )}{- 3})^{2}

0 = a (x - 3)^{2} + 1

6 x^{2} + 5 x - 1

p^{2} = 9

What are the solutions to the equation (x+6)x=720 ?
The solutions to the equation (x+6)x=720 are x=24,x=-30
Find the zeros of (x+6)x=720
The zeros of (x+6)x=720 are x=24,x=-30