What are the solutions to the equation 1/2 x^2+7x=0 ?

The solutions to the equation 1/2 x^2+7x=0 are x=0,x=-14

Find the zeros of 1/2 x^2+7x=0

The zeros of 1/2 x^2+7x=0 are x=0,x=-14

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\frac{1}{2} x^{2} + 7 x = 0

x = 0, x = - 14

Solution steps

\frac{1}{2} x^{2} + 7 x = 0

Multiply both sides by

2

x^{2} + 14 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot 0 = 14

x_{1, 2} = \frac{- 14 \pm 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 14 + 14}{2 \cdot 1}, x_{2} = \frac{- 14 - 14}{2 \cdot 1}

x = \frac{- 14 + 14}{2 \cdot 1} : 0

x = \frac{- 14 - 14}{2 \cdot 1} : - 14

The solutions to the quadratic equation are:

x = 0, x = - 14

x^{2} - 3 x - 44 = - 3 x + 5 - 3 x + 5

y, x^{4} - 7 x y^{2} + y = 7

x^{2} + (\frac{5}{13})^{2} = 1

x, f = 3 x^{2} + 2 y + 5

x^{2} = - 9 x - 18

What are the solutions to the equation 1/2 x^2+7x=0 ?
The solutions to the equation 1/2 x^2+7x=0 are x=0,x=-14
Find the zeros of 1/2 x^2+7x=0
The zeros of 1/2 x^2+7x=0 are x=0,x=-14