Mister Exam

(x+10)2=(5-x)2 equation

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Numerical solution:

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The solution

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(x + 10)*2 = (5 - x)*2
$$2 \left(x + 10\right) = 2 \left(5 - x\right)$$
Detail solution
Given the linear equation:
(x+10)*2 = (5-x)*2

Expand brackets in the left part
x*2+10*2 = (5-x)*2

Expand brackets in the right part
x*2+10*2 = 5*2-x*2

Move free summands (without x)
from left part to right part, we given:
$$2 x = - 2 x - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = -10$$
Divide both parts of the equation by 4
x = -10 / (4)

We get the answer: x = -5/2
The graph
Sum and product of roots [src]
sum
-5/2
$$- \frac{5}{2}$$
=
-5/2
$$- \frac{5}{2}$$
product
-5/2
$$- \frac{5}{2}$$
=
-5/2
$$- \frac{5}{2}$$
-5/2
Rapid solution [src]
x1 = -5/2
$$x_{1} = - \frac{5}{2}$$
x1 = -5/2
Numerical answer [src]
x1 = -2.5
x1 = -2.5
The graph
(x+10)2=(5-x)2 equation