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(4x-5)(x+3)=(2x-5)(2x+5) equation

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Numerical solution:

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The solution

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(4*x - 5)*(x + 3) = (2*x - 5)*(2*x + 5)
$$\left(x + 3\right) \left(4 x - 5\right) = \left(2 x - 5\right) \left(2 x + 5\right)$$
Detail solution
Given the equation:
(4*x-5)*(x+3) = (2*x-5)*(2*x+5)

Expand expressions:
-15 + 4*x^2 + 7*x = (2*x-5)*(2*x+5)

(4*x-5)*(x+3) = -25 + 4*x^2

Reducing, you get:
10 + 7*x = 0

Move free summands (without x)
from left part to right part, we given:
$$7 x = -10$$
Divide both parts of the equation by 7
x = -10 / (7)

We get the answer: x = -10/7
The graph
Sum and product of roots [src]
sum
-10/7
$$- \frac{10}{7}$$
=
-10/7
$$- \frac{10}{7}$$
product
-10/7
$$- \frac{10}{7}$$
=
-10/7
$$- \frac{10}{7}$$
-10/7
Rapid solution [src]
x1 = -10/7
$$x_{1} = - \frac{10}{7}$$
x1 = -10/7
Numerical answer [src]
x1 = -1.42857142857143
x1 = -1.42857142857143