Let's simplify both sides of the inequality first:(7-х)(х+7)-3х(х+2) < 2(1-х)-5х-4х^2Expanding the left side:(7x + 49 - x^2 - 7x) - (3x^2 + 6x) < 2 - 2x - 5x - 4x^2(49 - x^2) - (3x^2 + 6x) < 2 - 2x - 5x - 4x^249 - x^2 - 3x^2 - 6x < 2 - 2x - 5x - 4x^249 - 4x^2 - 6x < 2 - 11x - 4x^249 - 4x^2 - 6x < 2 - 11x - 4x^249 - 6x < 2 - 11x49 + 11 < 2 - 11x + 6x60 < 2 - 5x60 < 2 - 5x60 - 2 < -5x58 < -5x-58/5 > xx < -58/5
Therefore, the solution to the inequality (7-х)(х+7)-3х(х+2) < 2(1-х)-5х-4x^2 is x < -58/5.
Let's simplify both sides of the inequality first:
(7-х)(х+7)-3х(х+2) < 2(1-х)-5х-4х^2
Expanding the left side:
(7x + 49 - x^2 - 7x) - (3x^2 + 6x) < 2 - 2x - 5x - 4x^2
(49 - x^2) - (3x^2 + 6x) < 2 - 2x - 5x - 4x^2
49 - x^2 - 3x^2 - 6x < 2 - 2x - 5x - 4x^2
49 - 4x^2 - 6x < 2 - 11x - 4x^2
49 - 4x^2 - 6x < 2 - 11x - 4x^2
49 - 6x < 2 - 11x
49 + 11 < 2 - 11x + 6x
60 < 2 - 5x
60 < 2 - 5x
60 - 2 < -5x
58 < -5x
-58/5 > x
x < -58/5
Therefore, the solution to the inequality (7-х)(х+7)-3х(х+2) < 2(1-х)-5х-4x^2 is x < -58/5.