What are the solutions to the equation 4a^2=32a ?

The solutions to the equation 4a^2=32a are a=0,a=8

Find the zeros of 4a^2=32a

The zeros of 4a^2=32a are a=0,a=8

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4 a^{2} = 32 a

a = 0, a = 8

Solution steps

4 a^{2} = 32 a

Move

32 a

to the left side

4 a^{2} - 32 a = 0

Factor

4 a^{2} - 32 a : 4 a (a - 8)

4 a (a - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a - 8 = 0

Solve

a - 8 = 0 : a = 8

The solutions to the quadratic equation are:

a = 0, a = 8

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3 m^{5} n^{2} - 6 m^{4} n + m^{3}

What are the solutions to the equation 4a^2=32a ?
The solutions to the equation 4a^2=32a are a=0,a=8
Find the zeros of 4a^2=32a
The zeros of 4a^2=32a are a=0,a=8