What is the answer to solvefor x,(x-3)(x+k)=x^2-2x-3 ?

The answer to solvefor x,(x-3)(x+k)=x^2-2x-3 is x=3;\quad k\ne 1

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solvefor x,(x-3)(x+k)=x^2-2x-3

solve for

x, (x - 3) (x + k) = x^{2} - 2 x - 3

x = 3; k \neq = 1

Solution steps

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

Expand

(x - 3) (x + k) : x^{2} + k x - 3 x - 3 k

x^{2} + k x - 3 x - 3 k = x^{2} - 2 x - 3

Move

3 k

to the right side

x^{2} + k x - 3 x = x^{2} - 2 x - 3 + 3 k

Subtract

x^{2} - 2 x

from both sides

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

Simplify

k x - x = - 3 + 3 k

Factor

k x - x : x (k - 1)

x (k - 1) = - 3 + 3 k

Divide both sides by

k - 1; k \neq = 1

x = 3; k \neq = 1

- 2 (- x + 6) = - 3 (x + 1)

\frac{b}{0.5} - 8.6 = - 2.8

11 = 3 z + 5

x \cdot 1.0 2^{8} = x + 1000

2 r - (5 - r) = 13 + 2 r

What is the answer to solvefor x,(x-3)(x+k)=x^2-2x-3 ?
The answer to solvefor x,(x-3)(x+k)=x^2-2x-3 is x=3;\quad k\ne 1