Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2

x=7   multiplicity of 2

Step-by-step explanation:

14x - 49 = x^2

Subtract x^2 from each side

-x^2 +14x - 49 = x^2-x^2

-x^2 +14x - 49 = 0

Multiply by -1

x^2 -14x +49 =0

What 2 numbers multiply together to give you 49 and add together to give you -14

7*-7 = 49

-7+-7 = -14

(x-7) (x-7) = 0

Using the zero product property

x-7 = 0    x-7 =0

x-7+7= 0+7     x-7+7 =0+7

x =7     x=7

-2/

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step-by-step explanation: