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5*(x-2)2-45x=0 equation

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Numerical solution:

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The solution

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5*(x - 2)*2 - 45*x = 0
$$- 45 x + 2 \cdot 5 \left(x - 2\right) = 0$$
Detail solution
Given the linear equation:
5*(x-2)*2-45*x = 0

Expand brackets in the left part
5*x*2-5*2*2-45*x = 0

Looking for similar summands in the left part:
-20 - 35*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 35 x = 20$$
Divide both parts of the equation by -35
x = 20 / (-35)

We get the answer: x = -4/7
The graph
Sum and product of roots [src]
sum
-4/7
$$- \frac{4}{7}$$
=
-4/7
$$- \frac{4}{7}$$
product
-4/7
$$- \frac{4}{7}$$
=
-4/7
$$- \frac{4}{7}$$
-4/7
Rapid solution [src]
x1 = -4/7
$$x_{1} = - \frac{4}{7}$$
x1 = -4/7
Numerical answer [src]
x1 = -0.571428571428571
x1 = -0.571428571428571