What are the solutions to the equation 7x^2=7x ?

The solutions to the equation 7x^2=7x are x=0,x=1

Find the zeros of 7x^2=7x

The zeros of 7x^2=7x are x=0,x=1

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7 x^{2} = 7 x

x = 0, x = 1

Solution steps

7 x^{2} = 7 x

Move

7 x

to the left side

7 x^{2} - 7 x = 0

Factor

7 x^{2} - 7 x : 7 x (x - 1)

7 x (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0

Solve

x - 1 = 0 : x = 1

The solutions to the quadratic equation are:

x = 0, x = 1

7 x^{2} = 5 x

(2 x - 2)^{2} = 3 x^{2} - 3 x - 2

6 x^{2} - x - 2 = 0

16 x^{2} - 28 x + 12.25 = 0

x (x + 12) = 0

What are the solutions to the equation 7x^2=7x ?
The solutions to the equation 7x^2=7x are x=0,x=1
Find the zeros of 7x^2=7x
The zeros of 7x^2=7x are x=0,x=1