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(x-7)^2-33=(x-2)(x+2) equation

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Numerical solution:

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The solution

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(x - 7)  - 33 = (x - 2)*(x + 2)
$$\left(x - 7\right)^{2} - 33 = \left(x - 2\right) \left(x + 2\right)$$
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
The graph
Sum and product of roots [src]
sum
10/7
$$\frac{10}{7}$$
=
10/7
$$\frac{10}{7}$$
product
10/7
$$\frac{10}{7}$$
=
10/7
$$\frac{10}{7}$$
10/7
Rapid solution [src]
x1 = 10/7
$$x_{1} = \frac{10}{7}$$
x1 = 10/7
Numerical answer [src]
x1 = 1.42857142857143
x1 = 1.42857142857143