What are the solutions to the equation 5x^2-50=-15x ?

The solutions to the equation 5x^2-50=-15x are x=2,x=-5

Find the zeros of 5x^2-50=-15x

The zeros of 5x^2-50=-15x are x=2,x=-5

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5 x^{2} - 50 = - 15 x

x = 2, x = - 5

Solution steps

5 x^{2} - 50 = - 15 x

Move

15 x

to the left side

5 x^{2} - 50 + 15 x = 0

Write in the standard form

a x^{2} + b x + c = 0

5 x^{2} + 15 x - 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 5 ( - 50 )}{2 \cdot 5}

1 5^{2} - 4 \cdot 5 (- 50) = 35

x_{1, 2} = \frac{- 15 \pm 35}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 15 + 35}{2 \cdot 5}, x_{2} = \frac{- 15 - 35}{2 \cdot 5}

x = \frac{- 15 + 35}{2 \cdot 5} : 2

x = \frac{- 15 - 35}{2 \cdot 5} : - 5

The solutions to the quadratic equation are:

x = 2, x = - 5

x^{2} + 10 x = - 20

z^{2} = - 12 z + 6

x^{2} + 10 x = - 12

x, x^{2} + y^{2} - 3 x + y + 10 = 0

x, x^{2} - y^{2} = 1

What are the solutions to the equation 5x^2-50=-15x ?
The solutions to the equation 5x^2-50=-15x are x=2,x=-5
Find the zeros of 5x^2-50=-15x
The zeros of 5x^2-50=-15x are x=2,x=-5