What are the solutions to the equation -3/8 x^2=5x ?

The solutions to the equation -3/8 x^2=5x are x=-40/3 ,x=0

Find the zeros of -3/8 x^2=5x

The zeros of -3/8 x^2=5x are x=-40/3 ,x=0

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- \frac{3}{8} x^{2} = 5 x

x = - \frac{40}{3}, x = 0

Decimal Notation

x = - 13.33333 \dots, x = 0

Solution steps

- \frac{3}{8} x^{2} = 5 x

Multiply both sides by

8

- 3 x^{2} = 40 x

Move

40 x

to the left side

- 3 x^{2} - 40 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 ( - 3 ) \cdot 0}{2 ( - 3 )}

(- 40)^{2} - 4 (- 3) \cdot 0 = 40

x_{1, 2} = \frac{- ( - 40 ) \pm 40}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 40 ) + 40}{2 ( - 3 )}, x_{2} = \frac{- ( - 40 ) - 40}{2 ( - 3 )}

x = \frac{- ( - 40 ) + 40}{2 ( - 3 )} : - \frac{40}{3}

x = \frac{- ( - 40 ) - 40}{2 ( - 3 )} : 0

The solutions to the quadratic equation are:

x = - \frac{40}{3}, x = 0

w, a^{2} w^{2} - 16 = 0

x^{2} + 10 = 35

X^{2} + 5 = 0

5 x^{2} - 17 x + 13 = 0

x, 2 x^{2} - 5 x y + 2 y^{2} = 0

What are the solutions to the equation -3/8 x^2=5x ?
The solutions to the equation -3/8 x^2=5x are x=-40/3 ,x=0
Find the zeros of -3/8 x^2=5x
The zeros of -3/8 x^2=5x are x=-40/3 ,x=0