What are the solutions to the equation 5x(x+6)=-50 ?

The solutions to the equation 5x(x+6)=-50 are x=-3+i,x=-3-i

Find the zeros of 5x(x+6)=-50

The zeros of 5x(x+6)=-50 are x=-3+i,x=-3-i

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5 x (x + 6) = - 50

x = - 3 + i, x = - 3 - i

Solution steps

5 x (x + 6) = - 50

Expand

5 x (x + 6) : 5 x^{2} + 30 x

5 x^{2} + 30 x = - 50

Move

50

to the left side

5 x^{2} + 30 x + 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 5 \cdot 50}{2 \cdot 5}

Simplify

3 0^{2} - 4 \cdot 5 \cdot 50 : 10 i

x_{1, 2} = \frac{- 30 \pm 10 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 30 + 10 i}{2 \cdot 5}, x_{2} = \frac{- 30 - 10 i}{2 \cdot 5}

x = \frac{- 30 + 10 i}{2 \cdot 5} : - 3 + i

x = \frac{- 30 - 10 i}{2 \cdot 5} : - 3 - i

The solutions to the quadratic equation are:

x = - 3 + i, x = - 3 - i

6 - \frac{3}{4} x + \frac{1}{3} = \frac{1}{2} x + 5

a^{3} + a^{2} b - a b^{2} - b^{3}

9 - 12 i

\frac{2 x}{3} = \frac{5 x}{12} - 2

2 x + 1 \leq x - 2

What are the solutions to the equation 5x(x+6)=-50 ?
The solutions to the equation 5x(x+6)=-50 are x=-3+i,x=-3-i
Find the zeros of 5x(x+6)=-50
The zeros of 5x(x+6)=-50 are x=-3+i,x=-3-i