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(3x-2)(x+5)=3x^2 equation

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You have entered [src]

                       2
(3*x - 2)*(x + 5) = 3*x

$$\left(x + 5\right) \left(3 x - 2\right) = 3 x^{2}$$

Simplify

Detail solution

Given the equation:

(3*x-2)*(x+5) = 3*x^2

Expand expressions:

-10 + 3*x^2 + 13*x = 3*x^2

Reducing, you get:

-10 + 13*x = 0

Move free summands (without x)
from left part to right part, we given:
$$13 x = 10$$
Divide both parts of the equation by 13

x = 10 / (13)

We get the answer: x = 10/13

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

10
--
13

$$\frac{10}{13}$$

10
--
13

$$\frac{10}{13}$$

product

10
--
13

$$\frac{10}{13}$$

10
--
13

$$\frac{10}{13}$$

10/13

Rapid solution [src]

     10
x1 = --
     13

$$x_{1} = \frac{10}{13}$$

x1 = 10/13

Numerical answer [src]

x1 = 0.769230769230769

x1 = 0.769230769230769