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(x+9)^2=(x+6)^2

(x+9)^2=(x+6)^2 equation

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Numerical solution:

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The solution

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       2          2
(x + 9)  = (x + 6) 
$$\left(x + 9\right)^{2} = \left(x + 6\right)^{2}$$
Detail solution
Given the equation:
(x+9)^2 = (x+6)^2

Expand expressions:
81 + x^2 + 18*x = (x+6)^2

(x+9)^2 = 36 + x^2 + 12*x

Reducing, you get:
45 + 6*x = 0

Move free summands (without x)
from left part to right part, we given:
$$6 x = -45$$
Divide both parts of the equation by 6
x = -45 / (6)

We get the answer: x = -15/2
The graph
Rapid solution [src]
x1 = -15/2
$$x_{1} = - \frac{15}{2}$$
Sum and product of roots [src]
sum
0 - 15/2
$$- \frac{15}{2} + 0$$
=
-15/2
$$- \frac{15}{2}$$
product
1*-15/2
$$1 \left(- \frac{15}{2}\right)$$
=
-15/2
$$- \frac{15}{2}$$
-15/2
Numerical answer [src]
x1 = -7.5
x1 = -7.5
The graph
(x+9)^2=(x+6)^2 equation