What are the solutions to the equation 8x^2=-10x ?

The solutions to the equation 8x^2=-10x are x=0,x=-5/4

Find the zeros of 8x^2=-10x

The zeros of 8x^2=-10x are x=0,x=-5/4

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8 x^{2} = - 10 x

x = 0, x = - \frac{5}{4}

Decimal Notation

x = 0, x = - 1.25

Solution steps

8 x^{2} = - 10 x

Move

10 x

to the left side

8 x^{2} + 10 x = 0

Factor

8 x^{2} + 10 x : 2 x (4 x + 5)

2 x (4 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x + 5 = 0

Solve

4 x + 5 = 0 : x = - \frac{5}{4}

The solutions to the quadratic equation are:

x = 0, x = - \frac{5}{4}

9 u^{2} - 11 u + 7 = 0

2 x^{2} - 2 = - 25

6^{2} + 2^{2} = x^{2}

y^{2} + 11 y + 10 = 0

24 x = - 48 - 3 x^{2}

What are the solutions to the equation 8x^2=-10x ?
The solutions to the equation 8x^2=-10x are x=0,x=-5/4
Find the zeros of 8x^2=-10x
The zeros of 8x^2=-10x are x=0,x=-5/4