(4x-5)(x+3)=(2x-5)(2x+5) equation
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The solution
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
Sum and product of roots
[src]
$$- \frac{10}{7}$$
$$- \frac{10}{7}$$
$$- \frac{10}{7}$$
$$- \frac{10}{7}$$
$$x_{1} = - \frac{10}{7}$$