Mister Exam

(5x-1)2=(5x+2) equation

The teacher will be very surprised to see your correct solution 😉

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Numerical solution:

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The solution

You have entered [src]
(5*x - 1)*2 = 5*x + 2
$$2 \left(5 x - 1\right) = 5 x + 2$$
Detail solution
Given the linear equation:
(5*x-1)*2 = (5*x+2)

Expand brackets in the left part
5*x*2-1*2 = (5*x+2)

Expand brackets in the right part
5*x*2-1*2 = 5*x+2

Move free summands (without x)
from left part to right part, we given:
$$10 x = 5 x + 4$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 4$$
Divide both parts of the equation by 5
x = 4 / (5)

We get the answer: x = 4/5
The graph
Rapid solution [src]
x1 = 4/5
$$x_{1} = \frac{4}{5}$$
x1 = 4/5
Sum and product of roots [src]
sum
4/5
$$\frac{4}{5}$$
=
4/5
$$\frac{4}{5}$$
product
4/5
$$\frac{4}{5}$$
=
4/5
$$\frac{4}{5}$$
4/5
Numerical answer [src]
x1 = 0.8
x1 = 0.8