What are the solutions to the equation factor x^2-7=6x ?

The solutions to the equation factor x^2-7=6x are x=-1,x=7

Find the zeros of factor x^2-7=6x

The zeros of factor x^2-7=6x are x=-1,x=7

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x^{2} - 7 = 6 x

x = - 1, x = 7

Solution steps

x^{2} - 7 = 6 x

Move

6 x

to the left side

x^{2} - 7 - 6 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 6 x - 7 = 0

Factor

x^{2} - 6 x - 7 : (x + 1) (x - 7)

(x + 1) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 7 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 7 = 0 : x = 7

The solutions to the quadratic equation are:

x = - 1, x = 7

3 (x^{2} - 6) - 2 = 1

3 x^{2} + 24 x = - 39

y^{2} + 10 y + 4 = 0

x^{2} + 15 x + 21 = 0

p^{2} + 9 p + 3 = - 4 p^{2}

What are the solutions to the equation factor x^2-7=6x ?
The solutions to the equation factor x^2-7=6x are x=-1,x=7
Find the zeros of factor x^2-7=6x
The zeros of factor x^2-7=6x are x=-1,x=7