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

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

Find the zeros of 8x^2=5x

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

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8 x^{2} = 5 x

x = 0, x = \frac{5}{8}

Decimal Notation

x = 0, x = 0.625

Solution steps

8 x^{2} = 5 x

Move

5 x

to the left side

8 x^{2} - 5 x = 0

Factor

8 x^{2} - 5 x : x (8 x - 5)

x (8 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 8 x - 5 = 0

Solve

8 x - 5 = 0 : x = \frac{5}{8}

The solutions to the quadratic equation are:

x = 0, x = \frac{5}{8}

4 x^{2} - 5 x = 2

2 x^{2} + 7 x - 5 > 10

\frac{e ^{- x}}{e ^{x}}

\frac{1}{3} - 27

\frac{a}{- 3} > 4

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