What are the solutions to the equation 5x^2+10x=x-4 ?

The solutions to the equation 5x^2+10x=x-4 are x=-4/5 ,x=-1

Find the zeros of 5x^2+10x=x-4

The zeros of 5x^2+10x=x-4 are x=-4/5 ,x=-1

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5 x^{2} + 10 x = x - 4

x = - \frac{4}{5}, x = - 1

Decimal Notation

x = - 0.8, x = - 1

Solution steps

5 x^{2} + 10 x = x - 4

Move

4

to the left side

5 x^{2} + 10 x + 4 = x

Move

x

to the left side

5 x^{2} + 9 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 5 \cdot 4}{2 \cdot 5}

9^{2} - 4 \cdot 5 \cdot 4 = 1

x_{1, 2} = \frac{- 9 \pm 1}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 9 + 1}{2 \cdot 5}, x_{2} = \frac{- 9 - 1}{2 \cdot 5}

x = \frac{- 9 + 1}{2 \cdot 5} : - \frac{4}{5}

x = \frac{- 9 - 1}{2 \cdot 5} : - 1

The solutions to the quadratic equation are:

x = - \frac{4}{5}, x = - 1

x^{2} - 8 x + 6 = 0

2 (x + 4)^{2} = 50

x^{2} + 7 x + \frac{49}{4} = 0

- x^{2} - 10 x - 25 = 0

- 3 x^{2} - 7 = - 7

What are the solutions to the equation 5x^2+10x=x-4 ?
The solutions to the equation 5x^2+10x=x-4 are x=-4/5 ,x=-1
Find the zeros of 5x^2+10x=x-4
The zeros of 5x^2+10x=x-4 are x=-4/5 ,x=-1