(x-7)^2-33=(x-2)(x+2) equation
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The solution
Detail solution
Given the equation:
(x-7)^2-33 = (x-2)*(x+2)
Expand expressions:
49 + x^2 - 14*x - 33 = (x-2)*(x+2)
(x-7)^2-33 = -4 + x^2
Reducing, you get:
20 - 14*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 14 x = -20$$
Divide both parts of the equation by -14
x = -20 / (-14)
We get the answer: x = 10/7
Sum and product of roots
[src]
$$\frac{10}{7}$$
$$\frac{10}{7}$$
$$\frac{10}{7}$$
$$\frac{10}{7}$$