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(7-x)^2=(x+3)^2

(7-x)^2=(x+3)^2 equation

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Numerical solution:

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The solution

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       2          2
(7 - x)  = (x + 3) 
$$\left(7 - x\right)^{2} = \left(x + 3\right)^{2}$$
Detail solution
Given the equation:
(7-x)^2 = (x+3)^2

Expand expressions:
49 + x^2 - 14*x = (x+3)^2

(7-x)^2 = 9 + x^2 + 6*x

Reducing, you get:
40 - 20*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 20 x = -40$$
Divide both parts of the equation by -20
x = -40 / (-20)

We get the answer: x = 2
The graph
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Numerical answer [src]
x1 = 2.0
x1 = 2.0
The graph
(7-x)^2=(x+3)^2 equation