What are the solutions to the equation 5x^2+10x=75 ?

The solutions to the equation 5x^2+10x=75 are x=3,x=-5

Find the zeros of 5x^2+10x=75

The zeros of 5x^2+10x=75 are x=3,x=-5

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5 x^{2} + 10 x = 75

x = 3, x = - 5

Solution steps

5 x^{2} + 10 x = 75

Move

75

to the left side

5 x^{2} + 10 x - 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 ( - 75 )}{2 \cdot 5}

1 0^{2} - 4 \cdot 5 (- 75) = 40

x_{1, 2} = \frac{- 10 \pm 40}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 10 + 40}{2 \cdot 5}, x_{2} = \frac{- 10 - 40}{2 \cdot 5}

x = \frac{- 10 + 40}{2 \cdot 5} : 3

x = \frac{- 10 - 40}{2 \cdot 5} : - 5

The solutions to the quadratic equation are:

x = 3, x = - 5

4 x^{2} + 17 x = 15

15 x^{2} + 26 x - 21 = 0

4 x^{2} = 9 - 9 x

w (w - 4) = - 8

- \frac{x ^{2}}{2} + x = - 1.5

What are the solutions to the equation 5x^2+10x=75 ?
The solutions to the equation 5x^2+10x=75 are x=3,x=-5
Find the zeros of 5x^2+10x=75
The zeros of 5x^2+10x=75 are x=3,x=-5