What are the solutions to the equation factor x^2=12x-36 ?

The solutions to the equation factor x^2=12x-36 are x=6

Find the zeros of factor x^2=12x-36

The zeros of factor x^2=12x-36 are x=6

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x^{2} = 12 x - 36

x = 6

Solution steps

x^{2} = 12 x - 36

Move

36

to the left side

x^{2} + 36 = 12 x

Move

12 x

to the left side

x^{2} + 36 - 12 x = 0

Write in the standard form

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

x^{2} - 12 x + 36 = 0

Factor

x^{2} - 12 x + 36 : (x - 6)^{2}

(x - 6)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0

Solve

x - 6 = 0 : x = 6

The solution to the quadratic equation is:

x = 6

1 6^{2} + 6 3^{2} = c^{2}

9 x^{2} + 18 x + 17 = 0

- 2 x^{2} = 5 x + 2

(x + 20) (x + 4) = 8 x - 1

2 x^{2} + 9 x + 9

What are the solutions to the equation factor x^2=12x-36 ?
The solutions to the equation factor x^2=12x-36 are x=6
Find the zeros of factor x^2=12x-36
The zeros of factor x^2=12x-36 are x=6