What is the answer to (x-22)(x+a)=x^2+66x-22a ?

The answer to (x-22)(x+a)=x^2+66x-22a is x=0

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(x-22)(x+a)=x^2+66x-22a

(x - 22) (x + a) = x^{2} + 66 x - 22 a

x = 0

Solution steps

(x - 22) (x + a) = x^{2} + 66 x - 22 a

Expand

(x - 22) (x + a) : x^{2} + a x - 22 x - 22 a

x^{2} + a x - 22 x - 22 a = x^{2} + 66 x - 22 a

Move

22 a

to the right side

x^{2} + a x - 22 x = x^{2} + 66 x

Subtract

x^{2} + 66 x

from both sides

x^{2} + a x - 22 x - (x^{2} + 66 x) = x^{2} + 66 x - (x^{2} + 66 x)

Simplify

a x - 88 x = 0

Factor

a x - 88 x : x (a - 88)

x (a - 88) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0

x, 2 y + \frac{x}{3} = - 6

3 x - 1 = 3

\frac{x}{2} - \frac{x + 3}{5} = 3

x, 7 x + y = - 3

x, 7 x + y = 12

What is the answer to (x-22)(x+a)=x^2+66x-22a ?
The answer to (x-22)(x+a)=x^2+66x-22a is x=0