(x+9)^2=(x+6)^2 equation
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The solution
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
$$x_{1} = - \frac{15}{2}$$
Sum and product of roots
[src]
$$- \frac{15}{2} + 0$$
$$- \frac{15}{2}$$
$$1 \left(- \frac{15}{2}\right)$$
$$- \frac{15}{2}$$