Решить уравнение:1. (х-8 )(х+5)-(х-6)(х+6)=82. (х+9)(х-2)-(х-5)(х+5)=14

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вопрос

(x-8)(x+5) - (x-6)(x+6) = 8
Expand each term:
x^2 - 3x - 40 - (x^2 + 6x - 6x - 36) = 8
Simplify the equation:
x^2 - 3x - 40 - x^2 - 36 = 8
Combine like terms:
-3x - 76 = 8
Add 76 to both sides:
-3x = 84
Divide by -3:
x = -28

(x+9)(x-2) - (x-5)(x+5) = 14
Expand each term:
x^2 + 7x - 18 - (x^2 + 5x - 5x - 25) = 14
Simplify the equation:
x^2 + 7x - 18 - x^2 - 25 = 14
Combine like terms:
7x - 43 = 14
Add 43 to both sides:
7x = 57
Divide by 7:
x = 8

The solutions to the equations are x = -28 and x = 8.